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( sin 75^(@) - sin 15^(@))/( cos 15^(@) ...

`( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))= `

A

0

B

1

C

2

D

4

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The correct Answer is:
B
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Cos15^(@) - Cos75^(@) =

(cos 15^(@) + sin 15^(@))/(cos 15^(@) - sin 15^(@)) =

A=sin78^(@)-sin18^(@)+cos132^(@) B=cos12^(@)+cos84^(@)+cos132^(@)+cos156^(@) and C=(sin 75^(@)+sin 15^(@))/(cos 75^(@)+cos 15^(@)) then arrange in the ascending order

tan15^(@) + tan 75^(@)=

cot 15^(@) + cot 75^(@) + cot 315^(@) =

Evaluate the following and justify your answer. (i) (sin ^(2) 15^(@) +sin ^(2) 75^(@) )/( cos ^(2) 36^(@) +cos ^(2) 54^(@))

(sin^(8)75^(@)-cos^(8)75^(@))=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. (sin 65^(@) + sin 25^(@))/( cos 65^(@) + cos 25^(@))=

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  2. ( sin 70^(@) + cos 40^(@) )/( cos 70^(@) + sin 40^(@))=

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  3. ( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))=

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  4. ( cos^(2) 33^(@) - cos^(2) 57^@)/( sin 21^(@) - cos 21^(@))=

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  5. (1+ cos 56^(@) + cos 58^(@) - cos 66^(@))/( cos 28^(@) cos 29^@ sin 3...

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  6. ( cos (45^(@) + A) - cos (45^(@) - A))/( sin (120^(@) + A)-sin(120^@-A...

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  7. A+C=2B implies ( cos C - cos A )/( sin A - sin C )=

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

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

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

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

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

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

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

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

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

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

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

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

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

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