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The value 2tan^(-1)[sqrt((a-b)/(a+b))tan...

The value `2tan^(-1)[sqrt((a-b)/(a+b))tan(theta/2)]` is equal to `cos^(-1)((acostheta+b)/(a+bcostheta))` (b) `cos^(-1)((a+bcostheta)/(acostheta+b))` `cos^(-1)((acostheta)/(a+bcostheta))` (d) `cos^(-1)((bcostheta)/(acostheta+b))`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve sin^(-1)xlt=cos^(-1)xdot

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  2. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)(1/x)=tan^(-1)(1/3), then x is equ...

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  3. The value 2tan^(-1)[sqrt((a-b)/(a+b))tan(theta/2)] is equal to cos^(-1...

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  4. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x ,t h e nx= (a...

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  5. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  6. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

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  7. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

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  8. The sum of series sec^(-1) sqrt2 + sec^(-1).(sqrt10)/(3) + sec^(-1).(s...

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  9. The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) ...

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  10. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

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  11. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x ...

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  12. If alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^4)),beta=2sin^(-1)((2x)/(1+x^2))...

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  13. Absolute value of sum of all integers in the domain of f(x)=cot^(-1)sq...

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  14. Solve the equation tan^(-1)2x+tan^(-1)3x=pi/4

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  15. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

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  16. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),where x in R-{-1,1}, is equal to

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  17. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

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  18. Prove that: tan^(-1)x+tan^(-1)(1/x)={pi/2,ifx >0-pi/2,ifx<0

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  19. Find the value of sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)dot

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  20. Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset...

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