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JEE Main 2019
Inverse Trigonometric Functions
Inverse Trigonometric Functions
Easy

Question

If x = sin -1 (sin10) and y = cos -1 (cos10), then y - x is equal to :

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Solution

x = sin -1 sin 10 = 3π\pi - 10 y = cos -1 cos 10 = 4π\pi - 10 y - x = (4π\pi - 10) - (3π\pi - 10) = π\pi

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