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Let theta = tan^(-1) ( tan . (5pi)/4) " ...

Let `theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan . (2pi)/3) `then

A

`theta gt phi`

B

`4 theta - 3 phi = 0`

C

`theta + phi = (7pi)/12`

D

None of these

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The correct Answer is:
B, C
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Let theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan ...

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  2. let f(x)=e^(cos^(-1)sin(x + pi/3)) then f((8pi)/9) and f((-7pi)/4)

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  3. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen

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  4. Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

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  5. cos^(-1)x=tan^(-1)x then

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  6. The value(s) of x satisfying the equation sin^-1|sin x|=sqrt(sin^-1|s...

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  7. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

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  8. Indicate the relation which can hold in their respective domain for in...

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  9. To the equation 2^2pi//cos^((-1)x)-(a+1/2)2^pi//cos^((-1)x)-a^2=0 has ...

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  10. sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) when simplif...

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  11. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi , then

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  12. 2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equ...

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  13. Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following...

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  14. If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x....

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  15. Let alpha = 3 cos^(-1) (5/sqrt28) + 3 tan^(-1) ( sqrt3/2) " and " beta...

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  16. Let function f(x) be defined as f(x) = |sin^(-1)x| + cos^(-1) (1/x)...

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  17. Which of the following pairs of function are identical?

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  18. The value of Sigma(n=1)^(infty) cot^(-1) ( n^(2) + n +1) is also equa...

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  19. Let f : I - {-1,0,1} to [-pi, pi] be defined as f(x) = 2 tan^(-1) x - ...

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  20. If log x = (-1)/3 log y = 2/5 " and " P =log ( sin ( arc cos sqrt(1 - ...

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