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If r costheta = 2sqrt3, r sintheta = 2 a...

If `r costheta = 2sqrt3, r sintheta = 2` and `0^@ < theta < 90^@`, then the value of r and `theta` are

A

`(2, 60^@)`

B

`(4, 30^@)`

C

`(4, 60^@)`

D

(2, 30^@)`.

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UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. Multiple Choice Question (MCQ) Maximum value of costheta is

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  2. If r costheta = 2sqrt3, r sintheta = 2 and 0^@ < theta < 90^@, then th...

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  3. If (sintheta + costheta)/(sintheta - costheta) = 7, then the value of ...

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  4. If sectheta + tantheta = 2, then the value of sectheta - tantheta is

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  5. If x = m cosec alpha and y = n cot alpha, then the value of (x^2)/(m^...

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

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

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

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  9. Maximum value of sintheta + costheta is

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

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

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

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

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

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

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

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

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

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

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

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