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If costheta+cos^(2)theta=1, then find th...

If `costheta+cos^(2)theta=1`, then find the value of `sin^(4)theta+sin^(2)theta`.

A

0

B

`-1`

C

1

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. The least value of 2sin^2theta+3cos^2theta is

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  2. sec^(4)theta - sec^(2)theta equals

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  3. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

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  4. If sec theta - cosec theta = 0 , then the value of (sec theta + cosec ...

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  5. If P sin theta = sqrt(3) and P costheta =1, then the value of P is:

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  6. If mu(n) = cos^(n)alpha + sin^(n)alpha, then the value of 2mu(6)- 3mu(...

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

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  8. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

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  9. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

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  10. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

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  11. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

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  12. If tan2theta.tan4theta=1 , then the value of tan3theta is

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  13. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

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  14. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

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  15. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

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  16. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (c...

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  17. (Sin theta -Cos theta +1)/(Sin theta+Cos theta -1)= ?

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

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  19. Find minimum value of 4sec^(2)theta+9cos^(2)theta.

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  20. If tan(x+y) tan(x-y)=1, then the value of tan((2x)/3)is:

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