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If A,B are acute angle, tan A=5/12 , cos...

If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

A

`(16)/(65)`

B

`(65)/(16)`

C

`(65)/(63)`

D

`(56)/(65)`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

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  2. If A,B are acute angle , sin 4/5 , tan B=5/12 , then cos (A-B)=

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  3. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

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  4. If A,B are acute angle , tan A=(n)/(n+1), tan B=(1)/(2n+1), " then " A...

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  5. If sin A=1//sqrt(10), sin B= 1//sqrt(5) where A and B are positive an...

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  6. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

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  7. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

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  8. If cos A =-3//5 , sin B=7//25 and 90^(@) lt A lt 180^@,0^(@) lt B lt ...

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  9. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

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  10. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

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  11. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

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  12. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

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  13. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

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  14. If tan (A-B)=7//24 , tan A=4//3 " where " A,B are acute , then A+B=

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  15. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

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  16. If cot theta = 8//15 and theta does not lie in the first quadrant , t...

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  17. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

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  18. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

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  19. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

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  20. If tan alpha , tan beta are the roots of the equation x^(2) + px+q=...

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