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Trigonometry Examples
Step 1
Step 1.1
Move all terms containing to the left side of the equation.
Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
Combine the opposite terms in .
Step 1.1.2.1
Subtract from .
Step 1.1.2.2
Add and .
Step 1.2
Multiply both sides by .
Step 1.3
Simplify.
Step 1.3.1
Simplify the left side.
Step 1.3.1.1
Cancel the common factor of .
Step 1.3.1.1.1
Move the leading negative in into the numerator.
Step 1.3.1.1.2
Cancel the common factor.
Step 1.3.1.1.3
Rewrite the expression.
Step 1.3.2
Simplify the right side.
Step 1.3.2.1
Simplify .
Step 1.3.2.1.1
Apply the distributive property.
Step 1.3.2.1.2
Cancel the common factor of .
Step 1.3.2.1.2.1
Cancel the common factor.
Step 1.3.2.1.2.2
Rewrite the expression.
Step 1.3.2.1.3
Multiply by .
Step 1.4
Solve for .
Step 1.4.1
Subtract from both sides of the equation.
Step 1.4.2
Factor out of .
Step 1.4.2.1
Factor out of .
Step 1.4.2.2
Factor out of .
Step 1.4.2.3
Factor out of .
Step 1.4.3
Divide each term in by and simplify.
Step 1.4.3.1
Divide each term in by .
Step 1.4.3.2
Simplify the left side.
Step 1.4.3.2.1
Cancel the common factor of and .
Step 1.4.3.2.1.1
Factor out of .
Step 1.4.3.2.1.2
Rewrite as .
Step 1.4.3.2.1.3
Factor out of .
Step 1.4.3.2.1.4
Cancel the common factor.
Step 1.4.3.2.1.5
Divide by .
Step 1.4.3.2.2
Multiply .
Step 1.4.3.2.2.1
Multiply by .
Step 1.4.3.2.2.2
Multiply by .
Step 1.4.3.3
Simplify the right side.
Step 1.4.3.3.1
Move the negative in front of the fraction.
Step 1.4.3.3.2
Multiply by .
Step 1.4.3.3.3
Multiply by .
Step 1.4.3.3.4
Expand the denominator using the FOIL method.
Step 1.4.3.3.5
Simplify.
Step 1.4.3.3.6
Cancel the common factor of and .
Step 1.4.3.3.6.1
Factor out of .
Step 1.4.3.3.6.2
Cancel the common factors.
Step 1.4.3.3.6.2.1
Factor out of .
Step 1.4.3.3.6.2.2
Cancel the common factor.
Step 1.4.3.3.6.2.3
Rewrite the expression.
Step 1.4.3.3.6.2.4
Divide by .
Step 1.4.3.3.7
Apply the distributive property.
Step 1.4.3.3.8
Multiply.
Step 1.4.3.3.8.1
Multiply by .
Step 1.4.3.3.8.2
Multiply by .
Step 1.4.3.3.9
Apply the distributive property.
Step 1.4.3.3.10
Multiply.
Step 1.4.3.3.10.1
Multiply by .
Step 1.4.3.3.10.2
Multiply by .
Step 1.5
The variable got canceled.
All real numbers
All real numbers
Step 2
Since is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Step 3
Find two points on the line.
Step 4
Graph the line using the slope, y-intercept, and two points.
Slope: Undefined
y-intercept: No y-intercept
Step 5