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If the area enclosed by the curves f(x) ...

If the area enclosed by the curves `f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " api^(2)//b` (where a and b are coprime), then the value of b is ____

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  3. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

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  4. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical fu...

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  5. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then asqrt(1-a^2)+bsqrt(1-b^2)+cs...

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  6. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to ...

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  7. The solution of the inequality (log)(1/2sin^(-1)x >(log)(1//2)cos^(-1)...

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  8. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

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  9. If sin^(-1)x-cos^(-1)x=(pi)/(6),"then"

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  10. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi...

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  11. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

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  12. Find the number of solution of 2tan^(-1)(tanx)=6-xdot

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  13. Find the value of sin(1/4cos^(-1)((-1)/9))

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  14. Find the value of sin(1/2cot^(-1)(-3/4))

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  15. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

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  18. Find tan^(-1)x/(sqrt(a^2-x^2)) in terms of sin^(-1) where x in (0, a)d...

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  19. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the...

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  20. If 2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is independent of x , then

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