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If (cosalpha)/(cosbeta) = a and (sinalph...

If `(cosalpha)/(cosbeta) = a` and `(sinalpha)/(sinbeta) = b`, then the value of `sin^2 beta` interms of a and b is____

A

`(a^2 + 1)/(a^2 - b^2)`

B

`(a^2 - b^2)/(a^2 + b^2)`

C

`(a^2 - 1)/(a^2 - b^2)`

D

`(a^2 - 1)/(a^2 + b^2)`

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UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
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  2. If A=sin^2theta+cos^4theta then for all real values of theta

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

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

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

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

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

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

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

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

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

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

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

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  14. The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is ...

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  15. If r sin theta =7/2 and r costheta = (7sqrt3)/(2) then value of r is

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  16. If theta + emptyset = (Pi)/(2) and sin theta = 1/2 then the value of s...

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  17. If a cos theta + b sin theta = p and asin theta - bcos theta = q, then...

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  18. If theta = 60^@, then 1/2 sqrt1 + sin theta + 1/2 sqrt1 -sin theta is ...

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  19. sin A + cos B = 2 then tan((A + B)/(2)) equals

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  20. If cos^4 theta + cos^2 theta = 1 then the value of (tan^4 theta + tan^...

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