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cot (A+15^(@))- tan(A-15^(@))=...

`cot (A+15^(@))- tan(A-15^(@))= `

A

`(4 cos 2A)/( 1+ 2 cos 2 A) `

B

`(4 cos 2A)/(1-2 sin 2A ) `

C

`(4 cos 2A)/(1+2 sin 2A) `

D

`(4 cos 2A )/(1-2 cos 2A)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. A+C=2B implies ( cos C - cos A )/( sin A - sin C )=

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  2. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

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  3. cot (A+15^(@))- tan(A-15^(@))=

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  4. cot (15^(@) -A) + tan(15^(@) + A) =

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  5. If m* tan ( theta - 30^(@))= n* tan( theta + 120^(@)), "then " cos 2 ...

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  6. If sin alpha = sin beta and cos alpha = cos beta then

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  7. In DeltaABC, " if " cos A=( sin B)/( 2 sin C) , then the triangle is

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  8. If sec ( theta + alpha ) , sec theta , sec (theta - alpha ) are in A....

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  9. If cos (x-y) , cos x , cos (x+y) are three distinct numbers which are...

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  10. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

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  11. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

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  12. If a* cos ( theta + alpha ) = b cos ( theta - alpha ) , " then " ( a...

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  13. If ( sin (x+y))/(sin (x-y))=(a+b)/(a-b) " then " ( tan x)/(tan y)=

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  14. If cos (A+B) sin (C+D)= cos(A-B)* sin(C-D), then cot A cot B cot C =

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  15. If tan (alpha + theta ) = n* tan ( alpha - theta ) , "then " (n +1) s...

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  16. If cos (x-y)=3 * cos (x+y) , " then " cot x* cot y=

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  17. If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( thet...

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  18. If m sin theta = n sin ( 2alpha + theta ) , " then " (m+n) tan alpha =

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  19. If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=

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  20. If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " ...

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