Precalculus Examples

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
Substitute the name of each side into the definition of the sine function.
Set up the equation to solve for the hypotenuse, in this case .
Substitute the values of each variable into the formula for sine.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Combine and simplify the denominator.
Tap for more steps...
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Tap for more steps...
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Evaluate the exponent.
Cancel the common factor of .
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Enter YOUR Problem
Mathway requires javascript and a modern browser.
Cookies & Privacy
This website uses cookies to ensure you get the best experience on our website.
More Information