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What is ( sin ^(6) theta - cos ^(6) thet...

What is `( sin ^(6) theta - cos ^(6) theta )/( sin ^(2) theta - cos ^(2) theta) ` equal to ?

A

`sin^(4) theta - cos^(4) theta`

B

`1- sin^(2) theta cos^(2) theta`

C

`1 + sin^(2) theta cos^(2) theta`

D

`1- 3sin^(2) theta cos^(2) theta`

Text Solution

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The correct Answer is:
B
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. If theta^(@) lt theta lt 90^(@) and (sin theta)/(cos theta) + (cos the...

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  2. If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@...

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  3. What is ( sin ^(6) theta - cos ^(6) theta )/( sin ^(2) theta - cos ^(2...

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  4. If sin^(4)x + sin^(2) x =1, then the value of cot^(4)x + cot^(2)x is:

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  5. If x cos theta + y sin theta =2 and x cos theta - y sin theta =0, then...

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  6. Expression sin A (1 + tan A) + cos A(1+ cot A) is equal to:

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  7. If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = 1/2,th...

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  8. If 3 sin theta + 4 cos theta = 5, then 3 cos theta - 4 sin theta is eq...

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  9. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

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

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

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

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

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

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  15. Minimum value of 5costheta + 12 is:

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

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

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

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

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

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