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If sin A= 4/5 and cos B =- 12/13, wher...

If ` sin A= 4/5 and cos B =- 12/13, ` where A and B lie in first and third quadrant respectively, then `cos (A+B)=`

A

`(56)/(65)`

B

`-(56)/(65)`

C

`(16)/(65)`

D

`-(16)/(56)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If cos (A+B) = alpha cos A cos B + beta sin A sin B, then (alpha, beta...

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  2. If sin A= 4/5 and cos B =- 12/13, where A and B lie in first and thi...

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  3. If sin A = 1/sqrt10 and sin B =1/sqrt5, where A and B are positive acu...

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  4. If tantheta=1/2 and tanphi=1/3 , then tan (2theta + phi)

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  5. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

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  6. If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to

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  7. If A + B = 45^@, then (cot A-1) (cot B-1) is equal to

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  8. If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha...

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  9. If x,y,z are any three real numbers, then tan (x-y) + tan (y-z) + tan...

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  10. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

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  11. tan 20^(@) + tan40^(@) + sqrt(3).tan 20^(@).tan 40^(@)=

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  12. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

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  13. If tan A=2 tan B+cot B, then 2 tan (A-B) is equal to

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  14. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

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  15. (1)/(tan 3 A - tan A)- (1)/(cot 3 A - cot A)=

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  16. Show that sin 150^(@) + cos 105^(@) =(1)/(sqrt(5))

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  17. The vlaue of tan 81^(@) - tan 63^(@) - tan 27^(@)+ tan 9^(@) is equ...

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  18. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...

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  19. tan ((pi)/(4)+theta) tan ((3pi)/( 4) + theta) is equal to

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  20. tan(100^(@))+tan(125^(@))+tan(100^(@))tan(125^(@))=

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