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Trigonometry Examples
Step 1
Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
Step 1.2.1
Simplify .
Step 1.2.1.1
Simplify each term.
Step 1.2.1.1.1
Raising to any positive power yields .
Step 1.2.1.1.2
Divide by .
Step 1.2.1.2
Subtract from .
Step 1.2.2
Multiply both sides of the equation by .
Step 1.2.3
Simplify both sides of the equation.
Step 1.2.3.1
Simplify the left side.
Step 1.2.3.1.1
Simplify .
Step 1.2.3.1.1.1
Cancel the common factor of .
Step 1.2.3.1.1.1.1
Move the leading negative in into the numerator.
Step 1.2.3.1.1.1.2
Factor out of .
Step 1.2.3.1.1.1.3
Cancel the common factor.
Step 1.2.3.1.1.1.4
Rewrite the expression.
Step 1.2.3.1.1.2
Multiply.
Step 1.2.3.1.1.2.1
Multiply by .
Step 1.2.3.1.1.2.2
Multiply by .
Step 1.2.3.2
Simplify the right side.
Step 1.2.3.2.1
Multiply by .
Step 1.2.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.2.5
Simplify .
Step 1.2.5.1
Rewrite as .
Step 1.2.5.2
Rewrite as .
Step 1.2.5.3
Rewrite as .
Step 1.2.5.4
Rewrite as .
Step 1.2.5.5
Pull terms out from under the radical, assuming positive real numbers.
Step 1.2.5.6
Move to the left of .
Step 1.2.6
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.2.6.1
First, use the positive value of the to find the first solution.
Step 1.2.6.2
Next, use the negative value of the to find the second solution.
Step 1.2.6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
x-intercept(s):
x-intercept(s):
Step 2
Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
Step 2.2.1
Simplify .
Step 2.2.1.1
Simplify each term.
Step 2.2.1.1.1
Raising to any positive power yields .
Step 2.2.1.1.2
Divide by .
Step 2.2.1.1.3
Multiply by .
Step 2.2.1.2
Add and .
Step 2.2.2
Multiply both sides of the equation by .
Step 2.2.3
Simplify both sides of the equation.
Step 2.2.3.1
Simplify the left side.
Step 2.2.3.1.1
Cancel the common factor of .
Step 2.2.3.1.1.1
Cancel the common factor.
Step 2.2.3.1.1.2
Rewrite the expression.
Step 2.2.3.2
Simplify the right side.
Step 2.2.3.2.1
Multiply by .
Step 2.2.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.2.5
Simplify .
Step 2.2.5.1
Rewrite as .
Step 2.2.5.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.6
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.2.6.1
First, use the positive value of the to find the first solution.
Step 2.2.6.2
Next, use the negative value of the to find the second solution.
Step 2.2.6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4