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Show that sin A= (sin 3A) /(1+2 cos 2A)....

Show that `sin A= (sin 3A) /(1+2 cos 2A)`. Hence find the value of `sin 15^(@).`

A

`sin A `

B

`cos A `

C

`tan A `

D

`cot A `

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 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
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  13. If A=2 sin^(2) theta - cos 2 theta , then

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  14. If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...

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  15. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

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  16. If 180^(@) lt theta lt 270^(@) , tan theta = 5//12 , " then " cos 3 ...

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  17. If cos theta + sin theta =a , " then " sin 2 theta =

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