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solve : tan ^(-1) 2x + tan ^(-1) "...

solve : ` tan ^(-1) 2x + tan ^(-1) ""3x=(pi)/(4)`

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

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

If tan ^(-1) ""x + tan ^(-1) ""y + tan ^(-1) ""z=(pi)/(2) and x + y +z = sqrt(3) then show that x =y=z.

solve : 3 tan ^(-1) ""(1)/(2+sqrt(3))-tan ^(-1)""(1)/(x) = tan ^(-1)""(1)/(3)

prove that tan ^(-1)"" (1)/(4) + tan ^(-1) ""(2)/(9) + tan ^(-1) "" (1)/(5) + tan ^(-1) ""(1)/(8) =(pi)/(4).

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

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

tan^(-1) 1+tan ^(-1) 2+tan ^(-1) 3 = pi =2 (tan ^(-1) ""(1)/(2)+tan ^(-1) ""(1)/(3) + tan ^(-1) 1) [ take priencipal value in each case]

The value of x if tan^(-1)x + 2 cot^(-1)x = (2 pi)/3 is

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. solve : tan ^(-1) 2x + tan ^(-1) ""3x=(pi)/(4)

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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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