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If tanx=(b)/(a), then find the value of ...

If `tanx=(b)/(a)`, then find the value of `sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).`

A

`(2sinx)/(sqrtsin2x)`

B

`(2cosx)/(sqrtcos2x)`

C

`(2cosx)/(sqrtsin2x)`

D

`(2sinx)/(sqrtcos2x)`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

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  2. cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

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  3. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

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  4. In tantheta+sec theta=sqrt3,0ltthetaltpi, then theta is equal to

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  5. If sqrt3sin theta+costhetagt0, then theta lies in the interval

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  6. Let 0lt x lepi//4, (sec 2x-tan2x) equals

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  7. Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^...

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  8. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

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  9. If (cos theta)/(a)=(sin theta)/(b), then (a)/(sec2theta)+(b)/(cosec2th...

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  10. If k(1)=tan 27 theta-tan theta and k(2)=(sin theta)/(cos 3 theta)+(sin...

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  11. Find the number of integral values of k for which the equation 7 cos x...

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  12. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

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  13. The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

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  14. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

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  15. If A+B+C=pi then sin2A+sin2B+sin2C=

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  16. The expression tan^2alpha+cot^2alpha is

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  17. Given alpha+beta+gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=...

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  18. If tan((alphapi)/(4))=cot((betapi)/(4)), then

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  19. The roots of the equation 4x^(2)-2sqrt(5)x+1=0 are

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  20. The radius of the circle whose are of length 15\ pi cm makes an angle ...

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