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Prove : sin ^(-1) ""(5/13) + cos^(-1) ...

Prove : ` sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)`

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Prove that sin (cot^(-1) (tan (cos^(-1) x))) = x, x gt 0

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FULL MARKS-INVERSE TRIGONOMETRIC FUNCTIONS-ADDITIONAL QUESTIONS SOLVED
  1. Solve the following equation : sin ^(-1) (1-x ) - 2 sin ^(-1) ...

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

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  3. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

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  4. Prove that tan^(-1)((1)/(7))+tan^(-1)((1)/(13))=tan^(=-1)((2)/(9))

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  5. Prove : 2 sin ^(-1) "" 3/5 = tan ^(-1) ""(24)/(7)

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  6. Prove : tan ( cos^(-1) ""4/5 + tan ^(-1)"" 2/3 )=(17)/(6)

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

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  8. If sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1, then find the value of x.

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

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

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

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

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

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

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

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

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

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

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

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

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