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Trigonometry Examples
Step 1
Take the inverse arccosine of both sides of the equation to extract from inside the arccosine.
Step 2
Step 2.1
Simplify .
Step 2.1.1
The functions cosine and arccosine are inverses.
Step 2.1.2
Simplify each term.
Step 2.1.2.1
Evaluate .
Step 2.1.2.2
Multiply by .
Step 2.1.3
To write as a fraction with a common denominator, multiply by .
Step 2.1.4
Combine fractions.
Step 2.1.4.1
Combine and .
Step 2.1.4.2
Combine the numerators over the common denominator.
Step 2.1.5
Simplify the numerator.
Step 2.1.5.1
Multiply by .
Step 2.1.5.2
Subtract from .
Step 2.1.6
Divide by .
Step 3
Exclude the solutions that do not make true.