Enter a problem...
Trigonometry Examples
Step 1
Rewrite the function as an equation.
Step 2
Step 2.1
Add to both sides of the equation.
Step 2.2
Add and .
Step 3
Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
Step 3.2.1
Cancel the common factor of .
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
Step 3.3.1
Cancel the common factor of and .
Step 3.3.1.1
Factor out of .
Step 3.3.1.2
Cancel the common factors.
Step 3.3.1.2.1
Factor out of .
Step 3.3.1.2.2
Cancel the common factor.
Step 3.3.1.2.3
Rewrite the expression.
Step 3.3.1.2.4
Divide by .
Step 4
Step 4.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 4.2
Find the values of and using the form .
Step 4.3
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 5
Step 5.1
Solve for .
Step 5.1.1
Move all terms containing to the left side of the equation.
Step 5.1.1.1
Add to both sides of the equation.
Step 5.1.1.2
Add and .
Step 5.1.2
Divide each term in by and simplify.
Step 5.1.2.1
Divide each term in by .
Step 5.1.2.2
Simplify the left side.
Step 5.1.2.2.1
Cancel the common factor of .
Step 5.1.2.2.1.1
Cancel the common factor.
Step 5.1.2.2.1.2
Divide by .
Step 5.1.2.3
Simplify the right side.
Step 5.1.2.3.1
Cancel the common factor of and .
Step 5.1.2.3.1.1
Factor out of .
Step 5.1.2.3.1.2
Cancel the common factors.
Step 5.1.2.3.1.2.1
Factor out of .
Step 5.1.2.3.1.2.2
Cancel the common factor.
Step 5.1.2.3.1.2.3
Rewrite the expression.
Step 5.1.2.3.1.2.4
Divide by .
Step 5.2
Create a table of the and values.
Step 6
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 7