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(sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1...

`(sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A))` If `|tan A| < 1`, and` | A I`

A

tan A

B

`- tan A`

C

cot A

D

`-cot A`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. Minimum value of cos theta is equal

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  2. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

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  3. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

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  4. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

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  5. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

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  6. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  7. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

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  8. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

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  9. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

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  10. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

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  11. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

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  12. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

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  13. If f (theta) = |sin theta| + |cos theta|, theta in R, then

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  14. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

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  15. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

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  16. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

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  17. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

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  18. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

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  19. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4)

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  20. The minimum value of the expression sinalpha+sin beta+sin gamma, wher...

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