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If a cos theta - b sin theta =c, then pr...

If `a cos theta - b sin theta =c`, then prove that `a sin theta + b cos theta = +- sqrt(a^(2) + b^(2) - c^(2))`

A

`+-sqrt(a^(2) + b^(2) + c^(2))`

B

`+-sqrt(a^(2)- b^(2) + c^(2))`

C

`+-sqrt(a^(2) + b^(2) -c^(2))`

D

`+-sqrt(b^(2) - c^(2) -a^(2))`

Text Solution

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The correct Answer is:
C
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

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  2. For 0^(@) lt theta lt 90^(@) which of the following expression is of t...

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  3. If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...

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  4. Expression tan^(2)alpha + cot^(2)alpha is:

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  5. Find maximum value of sin^(8)theta+cos^(14)theta.

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  6. If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then

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  7. Minimum value of 5costheta + 12 is:

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

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

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

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

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

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

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

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

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

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

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

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

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

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