1) a) Use pythagorean theorem: x = 15 b) sin A = 9/15 = 3/5 cos B = 9/15 = 3/5 They are equal because sine and cosine are cofunctions. c) Since sin A = 3/5 We can figure out A by figuring out sin^-1 (3/5) Using a calculator A ≈ 36.87 degrees
2) Inverse trig functions are used to figure out the measure of the angles. For example to find out the angle measure B, we can use: sin^-1 (12/15) ≈53.13 degrees