The value of the trigonometric function , and the interval is
.
Find the value of by using Pythagorean identity.
Pythagorean identity : .
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The angle is in the interval
.
Since cosine function is negative in third quadrant, .
Double-angle formula : .
Substitute and
in the above double-angle formula.
The value of .
Double-angle formula : .
Substitute in the above double-angle formula.
The value of .
Quotient identity : .
The value of .
The values of .
The value of .
The value of .