Trigonometry question help?

Question

Solve for the remaining angles and side of the triangle described below. Round to the nearest thousandth:

A=75°, c=4, b=2

a-

C-

B-

Answer 1

You use the cosine law to find a, then the sin law to find B and C.

cos law a = sqrt(b^2 + c^2 - 2bc cos A)

sin law sin B/b = sin A/a, or B = arcsin(b sin A)/a)

C = arcsin(c sin A/a)