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Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-...

Prove that `tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2) cos^(-1)((a)/(b))}=(2b)/(a)`.

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ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section B
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  2. Let R be a relation on the set A of ordered pairs of positive integers...

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  3. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

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  7. An urn contains 4 white and 6 red balls. Four balls are drawn at rando...

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  10. If xy log(x + y) = 1, then prove that (dy)/(dx) = -(y(x^(2)y + x +...

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  11. If sin 2x = (2t)/(1 + t^(2)), tan y = (2t)/(1 - t^(2)) then find (dy)/...

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  12. Using mean value theorem, prove that sin xltx,in(0.pi//2).

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  16. Evaluate int(0)^(pi//2) (sin2x)/(sin^(4)x + cos^(4)x) dx.

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  19. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin an...

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  20. Prove that |veca xx vecb|^(2) = abs(veca)^(2)abs(vecb)^(2) - (veca * v...

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