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If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3...

If `sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1] rarr [0, pi]` be two bijective functions, respectively inverse of bijective functions `sin : [(pi)/(2), (3pi)/(2)] rarr [-1, 1] and cos : [0, pi] rarr [-1, 1] " then " sin^(-1) x + cos^(-1) x` is

A

`pi/2`

B

`pi`

C

`(3pi)/2`

D

not a constant

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  3. If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1...

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  4. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...

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

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

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  7. L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...

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

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  9. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

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  10. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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  11. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

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  12. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  13. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

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  14. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

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  15. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

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  16. The equation e^(sin^(-1)x)/pi=y/(log y) has

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  17. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

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  18. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

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

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  20. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

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