# Trigonometry Examples

Step 1

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

Opposite :

Adjacent :

Step 2

Step 2.1

Raise to the power of .

Step 2.2

Raise to the power of .

Step 2.3

Add and .

Step 2.4

Rewrite as .

Step 2.4.1

Factor out of .

Step 2.4.2

Rewrite as .

Step 2.5

Pull terms out from under the radical.

Step 3

therefore .

Step 4

Step 4.1

Cancel the common factor of and .

Step 4.1.1

Factor out of .

Step 4.1.2

Cancel the common factors.

Step 4.1.2.1

Factor out of .

Step 4.1.2.2

Cancel the common factor.

Step 4.1.2.3

Rewrite the expression.

Step 4.2

Move the negative in front of the fraction.

Step 4.3

Multiply by .

Step 4.4

Combine and simplify the denominator.

Step 4.4.1

Multiply by .

Step 4.4.2

Raise to the power of .

Step 4.4.3

Raise to the power of .

Step 4.4.4

Use the power rule to combine exponents.

Step 4.4.5

Add and .

Step 4.4.6

Rewrite as .

Step 4.4.6.1

Use to rewrite as .

Step 4.4.6.2

Apply the power rule and multiply exponents, .

Step 4.4.6.3

Combine and .

Step 4.4.6.4

Cancel the common factor of .

Step 4.4.6.4.1

Cancel the common factor.

Step 4.4.6.4.2

Rewrite the expression.

Step 4.4.6.5

Evaluate the exponent.

Step 5

Approximate the result.