Trigonometry equations

Question

Solve the equation

Cos Θ= 0.937 for 0 ≤ Θ ≤ 360°

Answer 1

There are two possible solutions between 0 and 360 degrees.

This can be solved approximately with a table or exactly with a calculator.

arccos(0.937) = 20.446 degrees. But, because cosine is symmetric around 0 degrees, -20.446 degrees is also correct. However, because of the bounds 0 -> 360, you just convert it to 339.554 degrees by adding 360 degrees.