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Trigonometry Examples
Step 1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 2
The exact value of is .
Step 3
Step 3.1
Combine and .
Step 3.2
Combine using the product rule for radicals.
Step 3.3
Multiply by .
Step 4
Step 4.1
Rewrite as .
Step 4.1.1
Factor out of .
Step 4.1.2
Rewrite as .
Step 4.2
Pull terms out from under the radical.
Step 5
Step 5.1
Cancel the common factor.
Step 5.2
Divide by .
Step 6
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
Step 7
The exact value of is .
Step 8
Combine and .