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If sin^(-1) x + sin^(-1) y = (2pi)/3", t...

If `sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y `

A

`(2pi)/3`

B

`pi/3`

C

`pi/6`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  3. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

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  7. If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3), then

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  8. The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec...

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  9. If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

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  10. If tan^(-1). (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

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  11. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

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  13. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

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

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  15. Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

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

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

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  18. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

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  19. Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

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  20. If alpha is the only real root of the equation x^(3) + bx^(2) + cx + 1...

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