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Question

$2 sin space A over 2 equals square root of 1 plus sin space A end root minus square root of 1 minus sin space A end root text then end text$

$2 n π - \frac{π}{4} < \frac{A}{2} < 2 n π + \frac{π}{4}, n \in z$
$2 n π + \frac{π}{4} < \frac{A}{2} < 2 n π + \frac{3 π}{4}, n \in z$
$2 n π + \frac{3 π}{4} < \frac{A}{2} < 2 n π + \frac{5 π}{4}, n \in z$
$n π - \frac{π}{4} < \frac{A}{2} < n π + \frac{π}{4}, n \in z$

The correct answer is: $2 n pi minus pi over 4 less than A over 2 less than 2 n pi plus pi over 4 comma n element of z$

$C plus S greater than 0 comma C minus S greater than 0$

Related Questions to study

$I f space 2 cos space A divided by 2 equals √ left parenthesis 1 plus sin space A right parenthesis plus √ left parenthesis 1 minus sin space A right parenthesis comma space t h e n space A divided by 2 space l i e s space b e t w e e n$

$I f space 2 cos space A divided by 2 equals √ left parenthesis 1 plus sin space A right parenthesis plus √ left parenthesis 1 minus sin space A right parenthesis comma space t h e n space A divided by 2 space l i e s space b e t w e e n$

$I f space 2 sin space A divided by 2 equals √ left parenthesis 1 plus sin space A right parenthesis plus √ left parenthesis 1 minus sin space A right parenthesis comma space t h e n space A divided by 2 space l i e s space b e t w e e n$

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If $2 cos space A over 2 equals square root of 1 plus sin space A end root minus square root of 1 minus sin space A end root$ , then

If $2 cos space A over 2 equals square root of 1 plus sin space A end root minus square root of 1 minus sin space A end root$ , then

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Find the value of ‘a’ if the three equations, (a + 1)³x + (a + 2)³y = (a + 3)³, (a + 1) x + (a + 2)y = (a + 3) & x + y = 1 are consistent.

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The condition for the expression ax² + 2hxy + by² + 2gx + 2fy + c to be resolved into rational linear factors in the determinant form is -

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If $alpha comma beta comma gamma$ are the roots of x³ – 3x + 2 = 0, then the value of the determinant $open vertical bar table row alpha beta gamma row beta gamma alpha row gamma alpha beta end table close vertical bar$ is equal to

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STATEMENT-1: The system of equations has no solution for k $not equal to$ 3
STATEMENT-2: The determinant $open vertical bar table row 1 3 cell negative 1 end cell row cell negative 1 end cell cell negative 2 end cell k row 1 4 1 end table close vertical bar$ $not equal to$ 0, for k $not equal to$ 3

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Suppose, x > 0, y > 0, z > 0 and $capital delta$ (a, b, c) = $open vertical bar table row cell x log invisible function application 2 end cell 3 cell 15 plus log invisible function application left parenthesis a to the power of x end exponent right parenthesis end cell row cell y log invisible function application 3 end cell 5 cell 25 plus log invisible function application left parenthesis b to the power of y end exponent right parenthesis end cell row cell z log invisible function application 5 end cell 7 cell 35 plus log invisible function application left parenthesis c to the power of z end exponent right parenthesis end cell end table close vertical bar$
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Suppose, x > 0, y > 0, z > 0 and $capital delta$ (a, b, c) = $open vertical bar table row cell x log invisible function application 2 end cell 3 cell 15 plus log invisible function application left parenthesis a to the power of x end exponent right parenthesis end cell row cell y log invisible function application 3 end cell 5 cell 25 plus log invisible function application left parenthesis b to the power of y end exponent right parenthesis end cell row cell z log invisible function application 5 end cell 7 cell 35 plus log invisible function application left parenthesis c to the power of z end exponent right parenthesis end cell end table close vertical bar$
Statement - 1 : $capital delta$ (8, 27, 125) = 0
Statement - 2 : $capital delta$ $open parentheses fraction numerator 1 over denominator 2 end fraction comma fraction numerator 1 over denominator 3 end fraction comma fraction numerator 1 over denominator 5 end fraction close parentheses$ = 0

If $fraction numerator cos space x over denominator cos space y end fraction equals 2$ and $cos space left parenthesis x minus y right parenthesis equals fraction numerator square root of 3 over denominator 2 end fraction$ then y=

If $fraction numerator cos space x over denominator cos space y end fraction equals 2$ and $cos space left parenthesis x minus y right parenthesis equals fraction numerator square root of 3 over denominator 2 end fraction$ then y=

If $tan space left parenthesis pi divided by 4 plus theta right parenthesis plus tan space left parenthesis pi divided by 4 minus theta right parenthesis equals a$ then $t a n cubed space left parenthesis pi divided by 4 plus theta right parenthesis plus t a n cubed space left parenthesis pi divided by 4 minus theta right parenthesis equals$

If $tan space left parenthesis pi divided by 4 plus theta right parenthesis plus tan space left parenthesis pi divided by 4 minus theta right parenthesis equals a$ then $t a n cubed space left parenthesis pi divided by 4 plus theta right parenthesis plus t a n cubed space left parenthesis pi divided by 4 minus theta right parenthesis equals$

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