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If sin^-1 x + sin^-1 y = - pi, then find...

If `sin^-1 x + sin^-1 y = - pi`, then find the values of x and y

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Find the values of tan^2 (Sec^-1 2) + cot^2 (cosec^-1 3)

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  2. Write down the value of sin^-1{sin((7pi)/6)}

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  3. If sin^-1 x + sin^-1 y = - pi, then find the values of x and y

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

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  6. What ist he domain of the functio nf(x) = sin^-1 x + sec^-1 x?

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  7. What is the domain of the function f(x) = cos^-1 x + sec^-1 x?

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  8. Find the range of the function f(x) = cos^-1 x + cosec^-1 x.

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  9. Write down the domain of the function f(x) = tan^-1 x + cot^-1 x.

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  10. Find the range of the function sec^-1 x + cosec^-1 x, |x| ge 1.

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  11. If cosec^-1 x = sin^-1 (1/x) for all x in S, then find the set S.

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  12. If sec(1/x) = cos^-1 x for all x in A, then find the set A.

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  13. Find the value of sin^-1 (cos(sin^-1x)) + cos^-1 (sin (cos^-1 x))

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  14. If cot^-1 x = tan^-1(1/x) for all x in S, then find the set S.

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  15. Find the value of tan (sec^-1(-1))

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  16. Write down the value of sec (cosec^-1 x), where |x| > 1

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  17. If |x| ge 1, then sin^-1((2x)/(1+x^2)) = 2 k. Write down the value of ...

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  18. Compute cos(2 sin^-1(-1/3))

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  19. Compute cos(2 cos^-1(-1/sqrt3))

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  20. Evaluate sin(2 cos^-1 (-3/5))

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