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Trigonometry Examples
Step 1
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2
Step 2.1
Set equal to .
Step 2.2
Solve for .
Step 2.2.1
To remove the radical on the left side of the equation, square both sides of the equation.
Step 2.2.2
Simplify each side of the equation.
Step 2.2.2.1
Use to rewrite as .
Step 2.2.2.2
Simplify the left side.
Step 2.2.2.2.1
Simplify .
Step 2.2.2.2.1.1
Multiply the exponents in .
Step 2.2.2.2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.2.2.2.1.1.2
Cancel the common factor of .
Step 2.2.2.2.1.1.2.1
Cancel the common factor.
Step 2.2.2.2.1.1.2.2
Rewrite the expression.
Step 2.2.2.2.1.2
Simplify.
Step 2.2.2.3
Simplify the right side.
Step 2.2.2.3.1
Raising to any positive power yields .
Step 2.2.3
Divide each term in by and simplify.
Step 2.2.3.1
Divide each term in by .
Step 2.2.3.2
Simplify the left side.
Step 2.2.3.2.1
Cancel the common factor of .
Step 2.2.3.2.1.1
Cancel the common factor.
Step 2.2.3.2.1.2
Divide by .
Step 2.2.3.3
Simplify the right side.
Step 2.2.3.3.1
Divide by .
Step 3
The final solution is all the values that make true.
Step 4
Step 4.1
Replace the variable with in the expression.
Step 4.2
The final answer is .
Step 4.3
Replace the variable with in the expression.
Step 4.4
The final answer is .
Step 5
The end points are .
Step 6
The square root can be graphed using the points around the vertex
Step 7