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If cos^-1 x/a + cos^-1 y/b = alpha , the...

If `cos^-1 x/a + cos^-1 y/b = alpha` , then show `x^2/a^2 + y^2/b^2 - (2xy)/ab cos alpha = sin^2 alpha`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. A triangle ABC is such that sin (2A + B) = 1/2 . If A,B,C are in A.P.,...

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  3. If cos^-1 x/a + cos^-1 y/b = alpha , then show x^2/a^2 + y^2/b^2 - (2x...

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  4. If cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi, then find the valu...

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  5. If sum(i=1)^(2n) sin^-1xi = npi then find the value of sum(i = 1)^(2n)...

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  8. If sin^-1x + sin^-1 y + sin^-1 z = (3 pi)/2, then find the value of su...

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  9. Solve for x : If [sin^-1(cos^-1(sin^-1(tan^-1x)))]=1, where [cdot] d...

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  10. If xgamma is given by, x(gamma + 1) = sqrt(1/2(1+xgamma) Then show :...

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  11. Solve sin x + sqrt3 cos x = sqrt2

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  12. Solve tan theta + tan 2theta + tan 3theta = 0

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  13. The number of all possible triplets (a1,a2,a3) such that : a1 + a2cos2...

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  14. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

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  15. tan ((pip)/4) = cot((qpi)/4) if :

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  16. The general solution of the equation : cos x cdot cos 6x = -1 is :

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  17. Find the interval in which , cos^-1 x gt sin^-1 x.

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  18. Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

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  19. Evaluate : sum(n = 1)^infty tan^-1(1/(n^2 + n + 1))

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  20. If tan^-1 x + tan^-1 2x + tan^-1 3x = pi, then:

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