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show that 2 tan ^(-1) ((1+x)/(1-x)) ...

show that ` 2 tan ^(-1) ((1+x)/(1-x)) - cos ^(-1)( (1-x^(2))/(1+x^(2)))=(pi)/(2)`

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2 tan ^(-1)""(1+x)/(1-x)+sin ^(-1)""(1-x^(2))/(1+x^(2))

2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)

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show that , (1) /(2) tan ^(-1) x = cos^(-1) sqrt((1+sqrt(1+x^(2)))/(2sqrt(1+x^(2)))).

tan((1)/(2) sin ^(-1)""(2x)/(1+x^(2))+(1)/(2)cos^(-1)((1-x^(2))/(1+x^(2))))=(2x)/(1-x^(2))(|x|ne 1)

tan ^(-1)""(1-x)/(1+x)""=(1)/(2) sin ^(-1)""(x)/(sqrt(1+x^(2)))

solve : tan^(-1) sqrt(x(x+1))+sin ^(-1) (sqrt(1+x+x^(2)))=(pi)/(2)

tan ^(-1)((1)/(2) sec x) + cot^(-1)(2cos x) =(pi)/(3)

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CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. show that 2 tan ^(-1) ((1+x)/(1-x)) - cos ^(-1)( (1-x^(2))/(1+x^(2...

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  2. The values of x satisfying sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-...

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  3. sin^(-1)x gt cos^(-1)x golds for -

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  4. If "cosec" ^(-1) x = sin ^(-1) ((1)/(x)) then x may be -

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  5. 2 cot ^(-1) 7+ cos ^(-1) ((3)/(5)) is equal to -

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  6. theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta...

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  7. tan {2tan ^(-1)""((1)/(5))-(pi)/(4)} is equal to -(k )/(17) then f...

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  8. IF sin ^(-1) x sin ^(-1) y =(2pi )/(3) then cos ^(-1) y =(pi)/(l...

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  9. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

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  10. The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-...

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  11. The value of tan {(cos^(-1)(-(2)/(7))-(pi)/(2))}is (2)/(3sqrt(m)), f...

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  12. Find prinicipal values for inverse circular functions cos ^(-1) ...

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  13. Find prinicipal values for inverse circular functions sin^(-1)(sin...

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  14. Find prinicipal values for inverse circular functions tan ^(-1) ...

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  15. Find prinicipal values for inverse circular functions tan ^(-1) ...

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  16. Find prinicipal values for inverse circular functions cos^(-1)(cos...

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  17. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

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  18. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

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  19. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

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  20. Find the general value of sin^-1(sqrt3/2)

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  21. Statement -I : tan ^(-1)""((3)/(4))+tan ^(-1) ""((1)/(7))= (pi)/(4) s...

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