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Prove that : cos [ tan^(-1) { sin (...

Prove that : ` cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(x^2 +2))`

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FULL MARKS-INVERSE TRIGONOMETRIC FUNCTIONS-ADDITIONAL QUESTIONS SOLVED
  1. If sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1, then find the value of x.

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  2. IF sin^(-1) X+ sin^(-1) y+ sin^(-1) z= pi , then prove that x^4 ...

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  3. Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...

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  4. Find the principal value of sin^(-1) ""(1/2) and sin^(-1) ""(- 1/(...

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  5. Find the principal value of cos^(-1)((-1)/(2))

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  6. Evaluate tan ^(-1) 1 + cos^(-1) (-1/2) + sin^(-1) ""(-1/2)

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  7. Evaluate : (I ) tan ^(-1) (tan"" (3pi )/(4)) (ii ) tan^(-1) "...

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  8. Evalute : (I ) sin^(-1) ""(sin( pi/3) (ii ) cos^(-1) ( cos ""(...

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  9. simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) )...

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  10. Evaluate : tan {1/2 cos^(-1) "" (sqrt(5))/(3)}

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  11. Solve : tan ^(-1) ""(x-1)/(x+1) + tan^(-1) ""(2x -1)/(2x+1)= tan ...

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  12. find the values of each of the following : (i) tan^(-1) ""[ 2...

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  13. solve for x : tan (cos^(-1) x ) = sin (cot^(-1) ""1/2)

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  14. tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to

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  15. Evaluate : sin (tan^(-1) x + cot^(-1) x )

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  16. The value of sin ^(-1 ) (1) + cos^(-1) (0) is …….

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  17. sin^(-1) (3 x/2) + cos^(-1 ) ( 3 x/2)= ……..

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  18. tan^(-1)x +cot^(-1) x= .......

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  19. sin^(-1)x-cos^(-1)(-x) =………..

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  20. sec^(-1) (sqrt2) + "cot"^(-1) (1)= ……..

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