Question

How do I solve for a problem that looks like this: sinx= 0.31, x = ?

For context, this problem is in an inverse trig function section. Any help is appreciated.

Answer 1

you need to use the inverse sine function (also known as arcsine) which is denoted as sin^-1. Here are the steps to solve for x:

1. Take the inverse sine of both sides of the equation: sin^-1(sin x) = sin^-1(0.31)

2. Simplify the left-hand side of the equation: x = sin^-1(0.31)

3. Use a calculator to find the approximate value of sin^-1(0.31). The answer is about 18.94 degrees (rounded to two decimal places).

Therefore, x = 18.94 degrees (rounded to two decimal places).