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Maths-

General

Easy

Question

One of the general solutions of $4 sin invisible function application theta sin invisible function application 2 theta sin invisible function application 4 theta equals sin invisible function application 3 theta$ is

$\frac{(3 n \pm 1) π}{12}, \forall n \in Z$
$(4 n \pm 1) π / 9, \forall n \in Z$
$\frac{(3 n \pm 1) π}{9}, \forall n \in Z$
$(3 n \pm 1) π / 3, \forall n \in Z$

The correct answer is: $fraction numerator open parentheses 3 n plus-or-minus 1 close parentheses pi over denominator 9 end fraction comma for all blank n element of Z$

We have $4 sin invisible function application theta sin invisible function application 2 theta sin invisible function application 4 theta equals 3 sin invisible function application theta minus 4 sin to the power of 3 end exponent invisible function application theta$
$rightwards double arrow sin invisible function application theta open square brackets 4 sin invisible function application 2 theta sin invisible function application 4 theta minus 3 plus 4 sin to the power of 2 end exponent invisible function application theta close square brackets equals 0$
$rightwards double arrow sin invisible function application theta open square brackets 2 blank open parentheses cos invisible function application 2 theta minus cos invisible function application 6 theta close parentheses minus 3 plus 2 open parentheses 1 minus cos invisible function application 2 theta close parentheses close square brackets equals 0$
$rightwards double arrow sin invisible function application theta open parentheses negative 2 cos invisible function application 6 theta minus 1 close parentheses equals 0$
$rightwards double arrow sin invisible function application theta equals 0$ or $cos invisible function application 6 theta equals negative 1 divided by 2$
$rightwards double arrow theta equals n pi$ or $blank 6 theta equals 2 n pi plus-or-minus 2 pi divided by 3 comma blank for all blank n element of Z$
$equals n pi$ or $blank theta equals open parentheses 3 n plus-or-minus 1 close parentheses blank pi divided by 9 comma blank for all blank n element of Z$

Related Questions to study

Which of the following is correct?

Which of the following is correct?

The number of solutions of $sec to the power of 2 end exponent invisible function application theta plus c o s e c to the power of 2 end exponent theta plus 2 blank c o s e c to the power of 2 end exponent theta equals 8 comma blank 0 less or equal than theta less or equal than pi divided by 2$ is

The number of solutions of $sec to the power of 2 end exponent invisible function application theta plus c o s e c to the power of 2 end exponent theta plus 2 blank c o s e c to the power of 2 end exponent theta equals 8 comma blank 0 less or equal than theta less or equal than pi divided by 2$ is

$I f sin invisible function application 2 theta equals cos invisible function application 3 theta blank a n d blank theta$ is an acute angle, then $sin invisible function application theta$ equals

$I f sin invisible function application 2 theta equals cos invisible function application 3 theta blank a n d blank theta$ is an acute angle, then $sin invisible function application theta$ equals

parallel

If $cos invisible function application B cos invisible function application C plus sin invisible function application B sin invisible function application C sin to the power of 2 end exponent invisible function application A equals 1 comma$ then triangle $A B C$ is

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The number of values of $theta$ which satisfy the equation $sin invisible function application 3 theta minus sin invisible function application theta equals 4 cos to the power of 2 end exponent invisible function application theta minus 2 comma blank for all blank theta element of open square brackets 0 comma blank 2 pi close square brackets comma$ is

The number of values of $theta$ which satisfy the equation $sin invisible function application 3 theta minus sin invisible function application theta equals 4 cos to the power of 2 end exponent invisible function application theta minus 2 comma blank for all blank theta element of open square brackets 0 comma blank 2 pi close square brackets comma$ is

The general solution of the trigonometric equation $sin invisible function application x plus cos invisible function application x equals 1$ is given by

The general solution of the trigonometric equation $sin invisible function application x plus cos invisible function application x equals 1$ is given by

parallel

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parallel

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parallel

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All possible two-factor products are formed from the numbers 1, 2, ----------100. The number of factors out of the total obtained which are multiple of 3 is -

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parallel

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