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If x in (pi, 2pi), prove that ((sqrt(1+c...

If `x in (pi, 2pi)`, prove that `((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(1+cos x)) -sqrt(1-cos x)) = cot(pi/4 +x/2)`

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A DAS GUPTA-Circular Functions, Identities -Exercise
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  3. If x in (pi, 2pi), prove that ((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(...

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  4. Show that cot theta* cot 2theta+ cot 2theta *cot 3theta + 2 = cot thet...

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

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

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

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  16. If sin alpha + sin beta =p, cos alpha + cos beta = q then find the va...

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  17. If cos(x - y)= -1, show that cos x + cos y = 0 and sin x + sin y = 0.

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  18. If alpha, beta be the solutions of theta for the equation a tan theta...

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  20. Prove that tan7 1^circ/2 = sqrt6 - sqrt3 + sqrt2 - 2.

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