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If x in ( - pi/2, pi/2), then the valu...

If ` x in ( - pi/2, pi/2)`, then the value of `tan^(-1) ((tan x)/4) + tan^(-1) ((3 sin 2x)/(5 + 3 cos 2x)) ` is

A

`x//2`

B

`2x`

C

`3x`

D

`x`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  2. If x + 1/x = 2, then principal value of sin^(-1) x is

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  3. If x in ( - pi/2, pi/2), then the value of tan^(-1) ((tan x)/4) + ta...

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  4. 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-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

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

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

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

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

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  13. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

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

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

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

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

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

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

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

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