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Prove that cos^(-1)(frac[b+acosx][a+bcos...

Prove that `cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a+b])tanfrac[x][2])`

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    SHARAM PUBLICATION|Exercise EXERCISE|46 Videos

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SHARAM PUBLICATION-QUESTION PAPER 2019-EXERCISE
  1. Let A and B be two mutually exclusive events such that P (A) = (1)/(2...

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  2. If f'(2^+) = 0 and f'(2^-)=0, then is f(x) continuous at x=2 ?

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  3. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

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  4. Construct the multiplication table X7 on the set {1, 2, 3, 4, 5, 6}. A...

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  5. Let R be the relation on the set R of real numbers such that aRb iff a...

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  6. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

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

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  8. If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O

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  9. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  10. A person takes 4 tests in succession. The probability of his passing t...

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  11. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  12. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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

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

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

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

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

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

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

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  20. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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