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Prove that : "cos"^(-1) ((b+a "cos"x)/(...

Prove that :
`"cos"^(-1) ((b+a "cos"x)/(a+b "cos"x))`
` =2"tan"^(-1)(sqrt((a-b)/(a+b)) "tan" x/2)

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
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  2. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

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  3. Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

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  7. Find the probability distribution of number of heads in three tosses...

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  8. If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...

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  9. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  10. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

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  11. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

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  14. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

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  15. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

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  16. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

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  17. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  18. Obtain the general solution of the following differential equations. (...

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  19. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  20. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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