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If sinA+sin^(2)A=1, then find the value ...

If `sinA+sin^(2)A=1`, then find the value of `cos^(12)A+3cos^(10)A+3cos^(8)A+cos^(6)A+cos^(4)A+cos^(2)A`.

A

`-1`

B

5

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
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  2. If cosA+cos^(2)A=1, then find the value of sin^(12)A+3sin^(10)A+3sin^(...

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  3. If sinA+sin^(2)A=1, then find the value of cos^(12)A+3cos^(10)A+3cos^(...

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  4. If cos^(2)x+cos^(4)x=1, then find the value of tan^(2)x+tan^(4)x.

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  5. If 3sinx+4cosx=2, then find the value of 3cosx-4sinx.

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  6. If costheta-sintheta=sqrt(2)costheta, then find the value of costheta+...

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  7. If sintheta+costheta=sqrt(2), then find the value of sintheta-costheta...

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  8. If sintheta+costheta=pandsectheta+cosectheta=q, then q(p^(2)-1)=?

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  9. If T(n)=sin^(n)theta+cos^(n)theta then (T(3)-T(5))/(T(1))=?

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  10. If x=acos^(3)theta,y=bsin^(3)theta then ((x)/(a))^((2)/(3))+((y)/(b))^...

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  11. If x=asec^(n)thetaandy=btan^(n)theta, then find the value of theta.

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  12. If tan^(5)thetatan^(5)5theta=1, then find the value of tan^(4)3theta.

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  13. If tantheta.tan2theta=1, then find the value of sin^(2)2theta+tan^(2)2...

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  14. If costhetacosec23^(@)=1, the value of theta is

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  15. If sin(x+y)=cos(x-y), then find the value of cos^(2)x.

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  16. If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2...

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  17. If A and B are complementary angles, find the value of sqrt((tanAtanB+...

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  18. A and B are complementary angles, then find the value of sinAcosB+cosA...

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  19. If theta is an acute angle and sintheta=costheta, then find the value ...

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  20. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

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