Question

Find the value of each expression in radians to the nearest thousandth. If the expression is undefined, write Undefined. sin⁻¹(-5π/7)

Answer 1

undefined

Explanation:

You want the angle whose sine is -5π/7.

Sine

The sine function only gives values in the range [-1, 1], so the sine of a real angle cannot be -5π/7 ≈ -2.244.

sin⁻¹(-5π/7) is undefined

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Additional comment

Actually, the usual functions (log, trig, root) have definitions for all complex numbers. The given expression evaluates to approximately -1.572 +1.448i, a complex number. (The usual vertical asymptotes still apply.)

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