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Prove that (sin theta + sin 2 theta )/(1...

Prove that `(sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan theta `

A

`tan theta //2`

B

`cot theta // 2`

C

`tan theta `

D

` cot theta `

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. (sin 2 theta)/( 1+ cos 2 theta ) =

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  2. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

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  3. ( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

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  4. (cos theta + sin theta )/( cos theta - sin theta )-(cos theta - sin th...

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  5. ( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

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  6. (3 cos theta + cos 3 theta )/( 3 sin theta - sin 3 theta ) =

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  7. (sin^(3) A + sin 3A)/( sin A )+ (cos^(3) A - cos 3A)/( cos A )=

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  8. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  9. (1- sec 8 theta )/( 1- sec 4 theta ) =

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  10. ((sin 2A)/(sec A -1))((sec 2A)/(sec 2A+1))=

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  11. sqrt(2)* " cosec " 20^(@) sec 20^(@)=

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  12. (tan 3x)/(tan x)=

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  13. ( tan 3A)/(tan A)=aimplies( sin 3A)/(sin A )=

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  14. (2 sin x)/( sin 3x)+ (tan x)/(tan 3x)=

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  15. ( cot x)/( cot x- cot 3x)+ ( tan x)/( tan x- tan 3x)=

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  16. (1)/(tan 3x- tanx)-(1)/( cot 3 x- cot x)=

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  17. 3 sin x+ 4 cos x= 5implies 6 tan""(x)/(2)-9 tan^(2)""(x)/(2)=

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  18. If A=2 sin^(2) theta - cos 2 theta , then

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

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

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