JEE MAIN - Mathematics (2019 - 9th January Evening Slot - No. 19)
If x = sin$$-$$1(sin10) and y = cos$$-$$1(cos10), then y $$-$$ x is equal to :
0
10
7$$\pi $$
$$\pi $$
Explanation
x = sin$$-$$1 sin 10 = 3$$\pi $$ $$-$$ 10
y = cos$$-$$1cos 10 = 4$$\pi $$ $$-$$ 10
y $$-$$ x = (4$$\pi $$ $$-$$ 10) $$-$$ (3$$\pi $$ $$-$$ 10) = $$\pi $$
y = cos$$-$$1cos 10 = 4$$\pi $$ $$-$$ 10
y $$-$$ x = (4$$\pi $$ $$-$$ 10) $$-$$ (3$$\pi $$ $$-$$ 10) = $$\pi $$
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