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If tan ^2 theta =1-e ^(2), then sec the...

`If tan ^2 theta =1-e ^(2),` then ` sec theta + tan ^(3) theta cosec theta =`

A

`(1-e^(2))^(3//2)`

B

`(1-e^(2))^(1//2)`

C

`(2-e^(2))^(3//2)`

D

`(2+e^(2))^(1//2)`

Text Solution

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The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec thet...

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  2. Find the value of (sin43^(@))/(cos47^(@)).

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  3. If sintheta+cosectheta=2, then find the value of sin^(5)theta+cosec^(5...

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  4. If tantheta+cottheta=2 then find the value of tan^(2)theta+cot^(2)thet...

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  5. If sintheta+cosectheta=2, the value of sin^(100)theta+cosec^(100)the...

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  6. If (sin theta + cos theta)/(sin theta - cos theta) = (5)/(4) , the val...

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  7. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

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  8. If tantheta+cottheta=2, then the value of tan^(n)theta+cot^(n)theta (0...

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  9. If (sectheta+tantheta)/(sectheta-tantheta)=(5)/(3), then sintheta is e...

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  10. If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...

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  11. tan46^(@)-cot44^(@)=?

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  12. cos51^(@)-sin39^(@)+sin37^(@)-cos53^(@)=?

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  13. If x+(1)/(x)=2costheta, then find the valueof x^(3)+(1)/(x^(3)).

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  14. If sectheta+tantheta=3, then find the value of sectheta.

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  15. If costheta=(5)/(13), then find the value of tan^(2)theta+sec^(2)theta...

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  16. If alpha+beta=90^(@),alpha=2beta, then find the value of cos^(2)alpha+...

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  17. Find the value of (1-tan^(2)22(1^(@))/(2))/(1+tan^(2)22(1^(@))/(2)).

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  18. sin^(2)88^(@)+cos^(2)88^(@)=?

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  19. If tantheta=(1)/(2)andtanphi=(1)/(3), then theta+phi=?

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  20. Find the value of (tanA+secA-1)cosA.

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  21. If 2costheta=x+(1)/(x), then find the value of 2cos^(2)theta.

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