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If sin alpha = 12//13 , ( 0 lt alpha lt ...

If `sin alpha = 12//13 , ( 0 lt alpha lt pi //2)` and `cos beta = - ( 3)/( 5) ( pi lt beta lt ( 3)/( 2) pi )`, the value of `sin ( alpha + beta )` is

A

`- 56//65`

B

`16//65`

C

`56//65`

D

`- 16//65`

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The correct Answer is:
A
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
  1. If sintheta=(-4)/(5) and theta lies in third quadrant, then the value...

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  2. If tan theta = 3 and theta lies in thrid quadrant, then the value of s...

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  3. If sin alpha = 12//13 , ( 0 lt alpha lt pi //2) and cos beta = - ( 3)...

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  4. If theta and phi are angles in the first quadrant such that tan theta ...

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  5. The value of cos ( pi //5) cos ( 2pi //5) cos ( 4pi //5) cos ( 8pi //5...

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  6. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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  7. The value of sqrt3 cosec20^@-sec20^@ is equal to:

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  8. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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

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  10. If cos(A-B)=3/5and tan A tanB=2, then

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  11. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

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  12. If Sigma n^2 = lambda Sigma n, then sin^(-1) "" ((9 lambda^2 - 4 n^2)/...

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  13. If A = 580^(@) then

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

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

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

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

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

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

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