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Indicate the relation which can hold in ...

Indicate the relation which can hold in their respective domain for infinite values of `x: ` `(a) tan"|tan^(-1)x|=|x|` (b) `"cot"|cot^(-1)x|=|x|` `(c) tan^(-1)|tanx|=|x|` (d) `sin|sin^(-1)x|=|x|`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  7. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^...

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  8. If alpha in (0,pi/2) , then the value of tan^(-1)(cotalpha)-cot^(-1)(t...

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  9. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,when (a) x in (-pi/2,(...

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  10. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

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  11. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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  12. Complete solution set of tan^2(sin^(-1)x)&gt;1 is (a)(-1,-1/(sqrt(2)...

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  13. The value of sin^(-1)(sin12)+cos^(-1)(cos12)=

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  15. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

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  16. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

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  17. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

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  18. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

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  19. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +2) +...

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  20. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

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