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What does #tan(2arcsin(12)+cos(arc cot(4))# equal?

Answer 1

Daniel Acosta

Sine of an angle #<=1#. arc sin (12) is the angle whose sine is 12 > 1. So the expression is invalid.

#|sin a|in[-1, +1]#.

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Answer 2

Carter Anderson

The expression provided contains a mistake as the input to the arcsin function is greater than 1. The domain of the arcsin function is [-1, 1], meaning it cannot take a value of 12 as its argument. Could you please check the expression and provide a corrected version?

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.