Question

How do you evaluate the equation `sin(arctan(-3))`?

Answer 1

Find sin (arctan (-3))
Ans: `+- 0.95`

Explanation:

Use calculator.
tan x = -3 --> arc x = -71^@57 + k180.
With k = 1 --> x = -71.57 + 180 = 108.43.
When x = -71.57 --> sin x = -0.95
When x = 108.43 --> sin x = 0.95
.
Ans: `sin x = +- 0.95`