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$fraction numerator sin invisible function application 3 theta plus sin invisible function application 5 theta plus sin invisible function application 7 theta plus sin invisible function application 9 theta over denominator cos invisible function application 3 theta plus cos invisible function application 5 theta plus cos invisible function application 7 theta plus cos invisible function application 9 theta end fraction blank i s blank e q u a l blank t o$

$\tan 3 θ$
$\cot 3 θ$
$\tan 6 θ$
$\cot 6 θ$

The correct answer is: $tan invisible function application 6 theta$

$fraction numerator sin invisible function application 3 theta plus sin invisible function application 5 theta plus sin invisible function application 7 theta plus sin invisible function application 9 theta over denominator cos invisible function application 3 theta plus cos invisible function application 5 theta plus cos invisible function application 7 theta plus cos invisible function application 9 theta end fraction equals fraction numerator open parentheses sin invisible function application 3 theta plus sin invisible function application 9 theta close parentheses plus open parentheses sin invisible function application 5 theta plus sin invisible function application 7 theta close parentheses over denominator open parentheses cos invisible function application 3 theta plus cos invisible function application 9 theta close parentheses plus open parentheses cos invisible function application 5 theta plus cos invisible function application 7 theta close parentheses end fraction$
$equals fraction numerator 2 blank sin invisible function application 6 theta blank cos invisible function application 3 theta plus 2 blank sin invisible function application 6 theta cos invisible function application theta over denominator 2 cos invisible function application 6 theta cos invisible function application 3 theta plus 2 blank cos invisible function application 6 theta cos invisible function application theta end fraction equals fraction numerator 2 blank sin invisible function application 6 theta blank open parentheses cos invisible function application 3 theta plus blank cos invisible function application theta close parentheses over denominator 2 cos invisible function application 6 theta open parentheses cos invisible function application 3 theta plus cos invisible function application theta close parentheses end fraction equals tan invisible function application 6 theta$

Related Questions to study

If $a to the power of 4 end exponent blank. b to the power of 5 end exponent equals 1 comma$ then the value of $log subscript a end subscript invisible function application open parentheses a to the power of 5 end exponent b to the power of 4 end exponent close parentheses$ equals

If $a to the power of 4 end exponent blank. b to the power of 5 end exponent equals 1 comma$ then the value of $log subscript a end subscript invisible function application open parentheses a to the power of 5 end exponent b to the power of 4 end exponent close parentheses$ equals

If $open parentheses x plus 1 close parentheses to the power of log subscript 10 end subscript invisible function application open parentheses x plus 1 close parentheses end exponent equals 100 open parentheses x plus 1 close parentheses comma$ then

If $open parentheses x plus 1 close parentheses to the power of log subscript 10 end subscript invisible function application open parentheses x plus 1 close parentheses end exponent equals 100 open parentheses x plus 1 close parentheses comma$ then

The sum of all the solution of $cot invisible function application theta equals sin invisible function application 2 theta comma blank open parentheses theta not equal to n pi comma n blank i n t e g e r close parentheses comma blank 0 less or equal than theta less or equal than pi blank$ is

The sum of all the solution of $cot invisible function application theta equals sin invisible function application 2 theta comma blank open parentheses theta not equal to n pi comma n blank i n t e g e r close parentheses comma blank 0 less or equal than theta less or equal than pi blank$ is

parallel

The number of solutions of the equation $sin to the power of 3 end exponent invisible function application x cos invisible function application x plus sin to the power of 2 end exponent invisible function application x cos to the power of 2 end exponent invisible function application x plus sin invisible function application x cos to the power of 3 end exponent invisible function application x equals 1 comma blank$ in the interval $open square brackets 0 comma blank 2 pi close square brackets comma blank$ is

The number of solutions of the equation $sin to the power of 3 end exponent invisible function application x cos invisible function application x plus sin to the power of 2 end exponent invisible function application x cos to the power of 2 end exponent invisible function application x plus sin invisible function application x cos to the power of 3 end exponent invisible function application x equals 1 comma blank$ in the interval $open square brackets 0 comma blank 2 pi close square brackets comma blank$ is

If $a comma blank b blank$ and $blank c$ are the sides of a triangle, then the minimum value of $fraction numerator 2 a over denominator b plus c minus a end fraction plus fraction numerator 2 b over denominator c plus a minus b end fraction plus fraction numerator 2 c over denominator a plus b minus c end fraction$ is

If $a comma blank b blank$ and $blank c$ are the sides of a triangle, then the minimum value of $fraction numerator 2 a over denominator b plus c minus a end fraction plus fraction numerator 2 b over denominator c plus a minus b end fraction plus fraction numerator 2 c over denominator a plus b minus c end fraction$ is

Let $alpha blank a n d blank beta$ be such that $pi less than alpha minus beta less than 3 pi.$ If $sin invisible function application alpha plus sin invisible function application beta equals negative fraction numerator 21 over denominator 65 end fraction blank a n d cos invisible function application alpha plus cos invisible function application beta equals negative fraction numerator 17 over denominator 65 end fraction comma$ then the value of $cos invisible function application fraction numerator alpha minus beta over denominator 2 end fraction$ is

Let $alpha blank a n d blank beta$ be such that $pi less than alpha minus beta less than 3 pi.$ If $sin invisible function application alpha plus sin invisible function application beta equals negative fraction numerator 21 over denominator 65 end fraction blank a n d cos invisible function application alpha plus cos invisible function application beta equals negative fraction numerator 17 over denominator 65 end fraction comma$ then the value of $cos invisible function application fraction numerator alpha minus beta over denominator 2 end fraction$ is

parallel

One of the general solutions of $4 sin to the power of 4 end exponent invisible function application x plus cos to the power of 4 end exponent invisible function application x equals 1$ is

One of the general solutions of $4 sin to the power of 4 end exponent invisible function application x plus cos to the power of 4 end exponent invisible function application x equals 1$ is

Which of the following is not the value of $sin invisible function application 27 degree minus cos invisible function application 27 degree ?$

Which of the following is not the value of $sin invisible function application 27 degree minus cos invisible function application 27 degree ?$

The sum of all roots of $sin invisible function application open parentheses pi log subscript 3 end subscript invisible function application open parentheses fraction numerator 1 over denominator x end fraction close parentheses close parentheses equals 0$ in $blank open parentheses 0 comma blank 2 pi close parentheses$ is

The sum of all roots of $sin invisible function application open parentheses pi log subscript 3 end subscript invisible function application open parentheses fraction numerator 1 over denominator x end fraction close parentheses close parentheses equals 0$ in $blank open parentheses 0 comma blank 2 pi close parentheses$ is

parallel

If $sin invisible function application theta subscript 1 end subscript plus sin invisible function application theta subscript 2 end subscript plus sin invisible function application theta subscript 3 end subscript equals 3 comma$ then $cos invisible function application theta subscript 1 end subscript plus cos invisible function application theta subscript 2 end subscript plus cos invisible function application theta subscript 3 end subscript$ is equal to

If $sin invisible function application theta subscript 1 end subscript plus sin invisible function application theta subscript 2 end subscript plus sin invisible function application theta subscript 3 end subscript equals 3 comma$ then $cos invisible function application theta subscript 1 end subscript plus cos invisible function application theta subscript 2 end subscript plus cos invisible function application theta subscript 3 end subscript$ is equal to

The set of values of $theta$ satisfying the inequation $2 sin to the power of 2 end exponent invisible function application theta minus 5 sin invisible function application theta plus 2 greater than 0$ , where $0 less than theta less than 2 pi$ , is

The set of values of $theta$ satisfying the inequation $2 sin to the power of 2 end exponent invisible function application theta minus 5 sin invisible function application theta plus 2 greater than 0$ , where $0 less than theta less than 2 pi$ , is

In any triangle $A B C comma fraction numerator a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent over denominator R to the power of 2 end exponent end fraction$ has the maximum value of

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parallel

In triangle $A B C comma blank a equals 5 comma blank b equals 4 blank$ and $blank c equals 3. blank G$ is the centroid of the triangle. Circumradius of triangle $G A B$ is equal to

In triangle $A B C comma blank a equals 5 comma blank b equals 4 blank$ and $blank c equals 3. blank G$ is the centroid of the triangle. Circumradius of triangle $G A B$ is equal to

We are given $b comma blank c blank$ and $sin invisible function application B$ such that $B$ is acute and $b less than c sin invisible function application B.$ Then

We are given $b comma blank c blank$ and $sin invisible function application B$ such that $B$ is acute and $b less than c sin invisible function application B.$ Then

Number of ordered pair $open parentheses s close parentheses open parentheses a comma blank b close parentheses$ for each of which the equality $a open parentheses cos invisible function application x minus 1 close parentheses plus b to the power of 2 end exponent equals cos invisible function application open parentheses a x plus b to the power of 2 end exponent close parentheses minus 1$ holds true for all $x element of R$ are

Number of ordered pair $open parentheses s close parentheses open parentheses a comma blank b close parentheses$ for each of which the equality $a open parentheses cos invisible function application x minus 1 close parentheses plus b to the power of 2 end exponent equals cos invisible function application open parentheses a x plus b to the power of 2 end exponent close parentheses minus 1$ holds true for all $x element of R$ are

parallel

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