Question

37. The equation sin-' x - cos-x = cos -1 (√3/2) has
(a) no solution
(b) unique solution
(c) infinite number of solution
(d) none of the above
​

Answer 1

Answer:

a) no solution

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Answer 2

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=> x = √3/2

We have sin-' x - cos-x = cos -1 (√3/2 cos -1 (√3/2)

=> sin-' x - cos-x = π/6

But.

sin-' x - cos-x = π/2

Therefore

sin-' x = π/3. and cos-x = π/6

=> x = √3/2 is the unique solution.

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