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2 cos 54^(@) * sin 66^(@) =...

`2 cos 54^(@) * sin 66^(@) = `

A

`(sqrt(3))/(2) + sin 12^(@) `

B

`(sqrt(3))/(2) - sin 12^(@) `

C

`(sqrt(3))/(2) + cos 12^(@) `

D

`(sqrt(3))/2- cos 12^(@) `

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. cot 16^(@) cot 44^(@) + cot 44^(@) cot 76^(@) - cot 76^(@) cot 16^(@)=

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  2. sin 48^(@) * sin 12^(@) =

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  3. 2 cos 54^(@) * sin 66^(@) =

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  4. cos 6^(@) sin 24^(@) cos 72^(@) =

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  5. sin 12^(@) * sin 24^(@) * sin 48^(@) * sin 84^(@) =

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  6. sin 20^(@) * sin 40^(@) * sin 60^@ * sin 80^(@) =

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  7. cos 20^(@)* cos 40^(@) * cos 60^(@) * cos 80^(@) =

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  8. cos 6^(@) * cos 42^(@) * cos 60^(@) * cos 66^@ * cos 78^@=

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  9. sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) sin 90^(@)=

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  10. Prove that cos^(2)76^(@)+cos^(2)16^(@)-cos76^(@)cos16^(@)=(3)/(4)

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  11. cos^(2) ( 45^(@) - alpha ) + cos^(2) (15^(@) + alpha ) - cos^(2)(15^(@...

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  12. 2 cos theta - cos 3 theta - cos 5 theta - 16 cos^(3) theta sin^(2) the...

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  13. 4 sin (420^(@) - alpha ) cos (60^@ + alpha ) =

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  14. ( sin A + sin 5A + sin 9A)/( cos A + cos 5A + cos 9A)=

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  15. ( sin 2 theta + 2 sin 4 theta + sin 6 theta )/(sin 4 theta + 2 sin 6 t...

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  16. ( cos 6 x + 6 cos 4 x+ 15 cos 2 x+ 10)/( cos 5 x+ 5 cos 3 x + 10 cos ...

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  17. ( cos A + cos 3A + cos 5A + cos 7A )/( sin A + sin 3A + sin 5A + sin 7...

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  18. If none of A,B, A+B is an integral multiple of pi, then prove that (1-...

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  19. ( sin(n+1) alpha - sin (n-1)alpha )/( cos (n+1) alpha + 2 cos n alpha ...

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  20. ((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 th...

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