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Prove that the relation sin^(2)theta = (...

Prove that the relation `sin^(2)theta = (x+y)^(2)/(4xy)` is not possible for any real `theta` where `x in R`, `y in R` such that `|x | ne |y|`.

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A DAS GUPTA-Circular Functions, Identities -Exercise
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  4. Prove that sin theta = x + p/x is possible for real x if p le 1/4

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  5. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

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  8. If x in (pi, 2pi), prove that ((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(...

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  14. If sin beta = 1/5 sin(2alpha +beta), show that tan(alpha +beta) = 3/2...

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  15. If Tn = sin^(n)theta + cos^(n)theta then prove that (T5 -T3): (T7- T5...

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  17. If cos A = tan B, cos B = tan C and cos C = tan A then show that sin A...

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  18. Prove that cos theta =(cos alpha- cos beta)/(1 -cos alpha*cos beta) ⇔ ...

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  19. If sqrt(a + b) tan( theta/2) = sqrt(a -b) tan (phi/2) then prove that ...

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  20. If sin theta - sin phi = a and cos theta + cos phi = b then prove tha...

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