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cot{tan^(- 1)x+tan^(- 1)(1/x)}+cos^(- 1)...

`cot{tan^(- 1)x+tan^(- 1)(1/x)}+cos^(- 1)(1-2x^2)+cos^(- 1)(2x^2-1)=pi, x gt0`

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cot {tan ^ (- 1) x + tan ^ (- 1) ((1) / (x))} + cos ^ (- 1) (1-2x ^ (2)) + cos ^ (- 1) ( 2x ^ (2) -1) = pi, x> 0

Solve the following equations : tan^(-1). (2x)/(1-x^(2)) +cos^(-1). (1-x^(2))/(2x) = pi/3 , x gt 0

sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

2tan ^ (- 1) (cos x) = tan ^ (- 1) (2cos ecx)

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

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

(1)/((1)/(cos^(2)x(1-tan x)^(2)))

sin^-1(-x) = -sin^-1(x); cos^-1(-x) = pi - cos^-1(x); tan^-1(-x) = -tan^-1(x); cot^-1(-x) = pi - cot^-1(x); sec^-1(-x) = pi - sec^-1(x); cosec^-1(-x) = -cosec^-1(X)

If tan^(-1)((x-1)/(x-2))+cot^(-1)((x+2)/(x+1))=(pi)/(4) , find x.

If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

CBSE COMPLEMENTARY MATERIAL-INVERSE TRIGONOMETRIC FUNCTIONS-4 MARK QUESTIONS
  1. tan(cos^(- 1)x)=sin(tan^(- 1)2)

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  2. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  3. cot{tan^(- 1)x+tan^(- 1)(1/x)}+cos^(- 1)(1-2x^2)+cos^(- 1)(2x^2-1)=pi,...

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  4. Prove that tan^(-1)((a-b)/(1+ab))+ tan^(-1)((b-c)/(1+bc))+tan^(-1)((c-...

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  5. Q. if tan^-1 a+tan^-1 b+tan^-1 c=pi, then prove that a+b+c=abc.

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  6. If cos^(-1)x+cos^(-1)y+cos^(-1)=pi,p rov et h a tx^2+y^2+z^2+2x y z=1.

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  7. if tan^-1(1/(1+1*2))+tan^-1(1/(1+2*3))+.............+tan^-1(1/(1+n*(n+...

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  8. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  9. If"sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

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  10. Solve the equation sin^(-1)y x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  11. If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x then x equals

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  12. Solve sin^(-1) (5/x) + sin^(-1)(12/x) = pi/2

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  13. Solve the following for x sin^(-1)((x)/(2))+cos^(-1)x=(pi)/(6)

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  14. If cos^(-1)(x/2)+cos^(-1)(y/3) = theta, prove that 9x^2- 12xycostheta+...

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  15. Prove that: tan^(-1)[(3 sin 2 phi)/(5+3cos 2phi)]+tan^(-1)[(1)/(4) tan...

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  16. The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...

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  17. prove that 2tan^-1(sqrt((a-b)/(a+b))tan(theta/2))=cos^-1((acostheta+b)...

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  18. Prove that : 2tan^(-1)[tan prop//2 tan beta//2]=cos^(-1)[(cos prop +co...

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  19. tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(...

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  20. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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