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Trigonometry Examples
Step 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2
Step 2.1
Rewrite as .
Step 2.2
Pull terms out from under the radical.
Step 2.3
Rewrite as .
Step 2.4
Rewrite as .
Step 2.5
Multiply by .
Step 2.6
Combine and simplify the denominator.
Step 2.6.1
Multiply by .
Step 2.6.2
Raise to the power of .
Step 2.6.3
Raise to the power of .
Step 2.6.4
Use the power rule to combine exponents.
Step 2.6.5
Add and .
Step 2.6.6
Rewrite as .
Step 2.6.6.1
Use to rewrite as .
Step 2.6.6.2
Apply the power rule and multiply exponents, .
Step 2.6.6.3
Combine and .
Step 2.6.6.4
Cancel the common factor of .
Step 2.6.6.4.1
Cancel the common factor.
Step 2.6.6.4.2
Rewrite the expression.
Step 2.6.6.5
Evaluate the exponent.
Step 2.7
Simplify the numerator.
Step 2.7.1
Rewrite the expression using the least common index of .
Step 2.7.1.1
Use to rewrite as .
Step 2.7.1.2
Rewrite as .
Step 2.7.1.3
Rewrite as .
Step 2.7.2
Combine using the product rule for radicals.
Step 2.7.3
Raise to the power of .
Step 2.8
Combine fractions.
Step 2.8.1
Multiply by .
Step 2.8.2
Combine and .
Step 3
Step 3.1
First, use the positive value of the to find the first solution.
Step 3.2
Next, use the negative value of the to find the second solution.
Step 3.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 4
Set up each of the solutions to solve for .
Step 5
Step 5.1
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Step 5.2
The inverse cosine of is undefined.
Undefined
Undefined
Step 6
Step 6.1
Take the inverse cosine of both sides of the equation to extract from inside the cosine.
Step 6.2
The inverse cosine of is undefined.
Undefined
Undefined
Step 7
List all of the solutions.
No solution