Trigonometry Examples

,
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Replace the known values in the equation.
Simplify the right side.
Tap for more steps...
Remove parentheses around .
Adjacent
Raise to the power of .
Adjacent
Remove parentheses around .
Adjacent
One to any power is one.
Adjacent
Multiply by .
Adjacent
Subtract from .
Adjacent
Adjacent
Use the definition of tangent to find the value of .
Substitute in the known values.
Simplify the right side.
Tap for more steps...
Multiply by .
Simplify.
Tap for more steps...
Combine.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Enter YOUR Problem
Mathway requires javascript and a modern browser.