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Prove that tan^(-1)((1)/(7))+tan^(-1)((1...

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

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Prove that tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)/(sqrt(1+x^(2))*sqrt(1+y^(2))))

Prove that : 2 tan^(-1) (1/3) +tan^(-1) (1/6) = tan^(-1) (22/21)

tan^(-1) (1/2) + tan^(-1) (1/3)=…..

Prove that : tan^(-1) (1/2 ) + tan^(-1) (1/3) = pi/4

FULL MARKS-INVERSE TRIGONOMETRIC FUNCTIONS-ADDITIONAL QUESTIONS SOLVED
  1. Solve : tan ^(-1) 2x + tan ^(-1) 3x = pi/4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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