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If A = 580^(@) then...

If `A = 580^(@)` then

A

`sin "" ( 1)/( 2) A = ( 1)/( 2) [ sqrt(( 1+ sin A ) ) - sqrt(( 1 - sin A ))]`

B

`sin "" ( 1)/( 2) A = -[ sqrt(( 1+ sin A ) ) - sqrt(( 1 - sin A ))]`

C

`sin "" ( 1)/( 2) A = (1)/(2)[- sqrt(( 1+ sin A ) ) - sqrt(( 1 - sin A ))]`

D

`cos"" (1)/(2) A = sqrt(( 1+ sin A ) ) - sqrt(( 1- cos A ))`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
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  7. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  8. If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), ...

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  12. If A = 580^(@) then

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  13. If 2 cos ( A//2) = sqrt(( 1+ sin A )) - sqrt(( 1- sin A )) , then

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  14. If cos(alpha+beta)=4/5, sin(alpha-beta)=5/13and alpha, beta between 0 ...

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  15. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

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  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

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  17. Let theta , phi in [0,2pi ] be such that 2 cos theta ( 1- sin phi ) = ...

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  18. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

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  19. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

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