Which angle has a sine of −12 and a cosine of −3√2 ? a 7π6 b 4π3 c 5π6 d 5π3

A. 7π/6.

Step-by-step explanation:

I think you mean a sine of -1/2  and cosine of -√3/2   ( the values in the question are not possible)

Angle  π/6 has a sine of  1/2 and a cosine of √3/2  ( from the 30-60-90 triangle).

This angle must be in the third quadrant because the sin and cos are negative.

So the answer is π +π/6 = 7π/6.

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