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The value of the angle tan^(-1) ( tan 65...

The value of the angle `tan^(-1) ( tan 65^(@) - 2 tan 40^(@))` in degrees is equal to

A

`-20^(@)`

B

`20^(@)`

C

`25^(@)`

D

`40^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  12. The value of the angle tan^(-1) ( tan 65^(@) - 2 tan 40^(@)) in degree...

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  13. If cos^(-1) . x/a - sin^(-1). y/b = theta (a , b , ne 0), then the max...

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  14. The value of Sigma(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7)) is equ...

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  15. The range of the function , f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(...

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  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

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  17. Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1...

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