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If tanx=b/a , then sqrt((a+b)/(a-b))+sqr...

If `tanx=b/a ,` then `sqrt((a+b)/(a-b))+sqrt((1-b)/(a+b))` is equal to `2s inx//sqrt(sin2x)` (b) `2cosx//sqrt(cos2x)` `2cosx//sqrt(sin2x)` (d) `2s inx//sqrt(cos2x)`

A

`2 sin x // sqrt( sin 2x)`

B

`2 cos x // sqrt( cos 2x )`

C

`2 cos x // sqrt( sin 2x )`

D

`2 sin x // sqrt( cos 2x )`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
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  2. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  3. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((1-b)/(a+b)) is equal to 2s ...

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  10. The value of 16 sin 144^@ sin 108^@ sin 72^@ sin 36^@ is equal to

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  11. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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  12. cos^(4) "" ( pi )/(8) + cos^(4) "" ( 3pi)/( 8 ) + cos^(4) "" ( 5pi )/(...

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  14. If If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alph...

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  15. If A+B=pi/4, then (1+tan A) (1+tanB) is equal

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  16. If f (x) = ( cot x )/( 1+ cot x ) and theta +phi = ( 5pi )/( 4), then ...

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  17. If sin A + sin B =a and cos A + cos B = b, then cos ( A + B ) =

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  18. If cos A + cos B =a, and sin A + sin B = b where a,b cancel(=)0, then ...

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  19. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

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  20. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

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