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If asin^(3)theta + bcos^(3)theta = sin t...

If `asin^(3)theta + bcos^(3)theta = sin theta costheta, 0 lt theta lt 90^(@)` and `asintheta = b costheta` then the value of `a^(2) + b^(2)` is:

A

ab

B

2ab

C

1

D

2

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The correct Answer is:
A
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then

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  2. Minimum value of 5costheta + 12 is:

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  3. If asin^(3)theta + bcos^(3)theta = sin theta costheta, 0 lt theta lt 9...

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  4. sin^(2)17.5^(@) +sin^(2)72.5^(@) is equal to:

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  5. A cow is tied in a pole with a rope. The cow moves in a circular pan k...

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  6. (sintheta + cos theta)(tan theta + cottheta) =

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  7. If secalpha, "cosec"alpha are roots of equation x^(2) + px + q=0, then

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  8. If sectheta and tantheta are roots of equation ax^(2) + bx + c=0 (a,b...

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  9. If x = h+ asectheta and y=k + b"cosec"theta then

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  10. If sinA - sqrt(6)cos A= sqrt(7) cosA, then the value of cosA + sqrt(...

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  11. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

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  12. Maximum value of sin(cos x) is-

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  13. If cos x + cos^(2)x =1, then the value of sin^(12)x + 3 sin^(10)x + 3s...

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  14. If 3sintheta + 5 cos theta = 5, then the value of 5sintheta - 3cos th...

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  15. If tantheta + sectheta =p, then the value of sec theta is:

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  16. If sintheta - cos theta = sqrt(2)cos theta, then the value of sintheta...

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  17. If tan(theta + 3theta) tan (2theta + 3theta)=1, then the value of sin(...

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  18. If secx = "cosec"y, then the value of "cosec"(x+y) is:

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  19. If tan2theta = cot(theta - 18^(@)), then the value of sin(5theta)/4 + ...

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  20. If sintheta + cos theta =1, then the value of sintheta - costheta is:

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