# Trigonometry Examples

To find the between the x-axis and the line between the points and , draw the triangle between the three points , , and .

Opposite :

Adjacent :

Raise to the power of .

Raise to the power of .

Add and .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

therefore .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Combine and simplify the denominator.

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Approximate the result.