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If `ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta),` prove that `cotalphacotbetacotgamma=cotdelta`

A

`cot alpha`

B

`cot beta`

C

cot delta`

D

`cot (alpha+beta+gamma+delta)`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. The minimum value of (1)/(3sintheta-4costheta+7), is

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  2. The maximum value of cos^(2)A+cos^(2)B-cos^(2)C, is

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  3. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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