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If 0 lt theta lt pi//2 and 2 sin theta =...

If `0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(@) , `then ` theta = `

A

`70^(@)`

B

`50^(@)`

C

`60^(@)`

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
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  4. If A+B=pi//2 then tan B+ 2 tan (A-B)=

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  5. If A+B=135^(@) " then " (1+ cot A ) (1+cot B)=

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  11. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

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  12. If A,B are acute angle , tan A=(n)/(n+1), tan B=(1)/(2n+1), " then " A...

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  13. If sin A=1//sqrt(10), sin B= 1//sqrt(5) where A and B are positive an...

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  14. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

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  15. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

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  17. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

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  19. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

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  20. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

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