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The expression 3{sin^(6)""((pi)/(2)+alph...

The expression `3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha)` is equal to

A

0

B

1

C

3

D

`sin 4 alpha +cos6 alpha`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. The maximum value of 1+8sin^(2)x^(2)cos^(2)x^(2) is

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  2. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

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  3. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha) is equal...

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  4. The minimum value of (1)/(3sintheta-4costheta+7), is

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

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  6. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

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

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  8. If tanx=b/athen sqrt((a+b)/(a-b"))+sqrt((a-b)/(a+b))=

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

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

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

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  12. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

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  13. If 3 tan (theta-15^(@))=tan(theta+15^(@)), 0lt thetalt pi,then theta=

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

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  15. If a=tan27theta-tantheta and b=(sin theta)/(cos3theta)+(sin3theta)/(co...

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  16. Find the no. of integral values of k for which the equation 7cosx+5sin...

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  17. If A = sin^2 theta+ cos^4 theta, then for all real values of theta

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

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

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

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