# 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 :
Step 2
Find the hypotenuse using Pythagorean theorem .
Step 2.1
Raise to the power of .
Step 2.2
Raise to the power of .
Step 2.3
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
Simplify .
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
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.