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If 2x = sec theta and 2/x = tan theta, t...

If `2x = sec theta` and `2/x = tan theta`, then `2(x^2 - (1)/(x^2))` =

A

1/4

B

1/2

C

1/8

D

1/16.

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UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. If x = m cosec alpha and y = n cot alpha, then the value of (x^2)/(m^...

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  2. If sec^2 theta + tan^2 theta = 13/12, then sec^4 theta =

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  3. If 2x = sec theta and 2/x = tan theta, then 2(x^2 - (1)/(x^2)) =

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  4. sec^2theta=4xy/(x+y)^2 is true if and only if

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  5. Maximum value of sintheta + costheta is

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  6. If costheta + sectheta = 2, then the value of cos^2017 theta + sec^201...

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  7. If tan ((Pi)/(2) - (theta)/(2)) = sqrt3, the value of cos theta is

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  8. If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(...

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  9. If A=sin^2theta+cos^4theta then for all real values of theta

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  10. If cos 0 = x^2 - x + 5/4, the value of x will be

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  11. In triangleABC, angleB = 90^@ and AB : BC = 2 : 1. The value of sin A ...

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  12. If cos theta + sin theta = sqrt2 cos theta, then cos theta - sin theta...

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

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  14. If (cosalpha)/(cosbeta) = a and (sinalpha)/(sinbeta) = b, then the val...

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  15. If theta is an acute angle and tan theta + cot theta = 2, then the val...

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  16. If (2 tan^2 30^@)/(1 - tan^2 30^@) + sec^2 45^@ - sec^2 0^@ = x sec 60...

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  17. Which one of the following is true for 0^@ < theta < 90^@?

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  18. If cos^2 alpha - sin^2 alpha = tan^2 beta, then the value of (cos^2 be...

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  19. For any values of sqrt frac(sec theta - 1)(sec theta + 1) = ?

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  20. If 0^@ < A < 90^@, then the value of tan^2 A + cot^2 A - sec^2 A cosec...

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