The following relationship is know to be true for two angles A and B: sin(A)cos(B)-cos(A)sin(B) Express A in terms of angle B. Work in degrees.

Answer 1

Hi Zach: Let's do this!

The question, as stated doesn't have a "relationship", namely an equation. I'm assuming the stated term = 0.

sin A cos B - cos A sin B = 0

∴ sin (A - B) = 0 . . . . . . by definition of double angles

A - B = 0⁰ + 180k⁰ for k = 0, +-1, +2, +-3, . . . .

A = B + 180k⁰ for k = 0, +-1, +2, +-3, . . . .