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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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The correct Answer is:
`(2b)/(a)`
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ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2020 -GROUP B (ANSWER ANY THREE QUESTIONS)
  1. Prove that for any f:X rarr Y , f o idx = f =idY of.

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  2. Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...

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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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  4. Four cards are drawn successively with replacement from a well shuffle...

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  5. Find the inverse of the matrix [{:(4,-2),(3,1):}]

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  6. There are two families A and B. There are 4 men, 6 women and 2 childre...

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  7. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

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  8. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

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  9. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

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  10. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

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  11. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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  12. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  13. Find the approximate value of sqrt(48.96)

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  14. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

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  15. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

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  16. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

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  17. The area between x=y^(2) and x=4 is divided into two equal parts by th...

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  18. Solve: xdy/dx+y=y^2ln x

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  19. Prove that the measure of the angle between two main diagonals of a cu...

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  20. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

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