Trigonometry Examples

The angle is an angle where the values of the six trigonometric functions are known. Because this is the case, add to keep the value the same.
Use the sum formula for sine to simplify the expression. The formula states that .
Simplify to get .
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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
The exact value of is .
Simplify to get .
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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
The exact value of is .
The exact value of is .
Simplify each term.
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Multiply by to get .
Simplify .
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Multiply by to get .
Multiply by to get .
Add and to get .
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