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The value of sec^2 (tan^(-1)3) + cosec^2...

The value of `sec^2 (tan^(-1)3) + cosec^2(cot^-1 2)` is

A

5

B

13

C

15

D

23

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MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

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  2. cos^-1(cos((7pi)/5) equals.

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  3. The value of sec^2 (tan^(-1)3) + cosec^2(cot^-1 2) is

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  4. If sin^-1(x/13) + cosec^-1(13/12) = pi/2 then the value of x is

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  5. Given 0 le x le 1/2, then the value of : tan[sin^-1(x/sqrt2 + (sqrt(1-...

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  6. The value of sin(2 sin^(-1)0.8) is equal to

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  7. The value of tan^-1(sqrt3/2) + tan^-1(1/sqrt3) is equal to

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  8. The value of cos(sin^-1(2/3)) is equal to

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  9. If tan^-1 2x + tan^-1 3x = pi/2, then the value of x is equal to

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  10. If sin^-1x + sin^-1 y + sin^-1z = (3pi)/2, then the value of x^9 + y^9...

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  11. 2 cos^-1 x = sin^-1(2xsqrt(1-x^2)) is valid for all value of x satisfy...

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  12. The number of real solutions of the equations: tan^-1 sqrt(x(x+1)) + s...

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  13. If cos^-1 x - cos^-1 y/2 = alpha, then 4x^2 - 4xy cos alpha + y^2 is e...

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  14. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

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  15. The value of cot(cosec^-1(5/3) + tan^-1(2/3) is

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  16. If 0 < x < 1, then : sqrt(1+x^1)[{ x cos(cot^-1x) + sin (cot^-1 x}^2 -...

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  17. If tan^(-1) y = tan^(-1) x + tan^(-1)((2x)/(1 -x^(2)))", where" |x| lt...

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  18. Find the value of sin^-1(sin(4pi)/5)

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  19. show that: 2 sin^-1(3/5) = tan^-1(24/7)

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  20. Write the value of tan^(-1)[2sin(2cos^(-1)""sqrt(3)/2)].

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