To find: The exact value of
The exact value of
Given information: The given value is
Formula used: The half-angle formula for the sine function is given by
The half-angle formula for the cosine function is given by
The reciprocal identity of tangent function is given by
Calculation:
Use Pythagorean identity to find
Substitute
Consider negative value of cosine function because
Divide the inequality by
The angle
Apply the half-angle formula of sine function to find
Further simplify the above expression.
Apply the half-angle formula of cosine function to find
Further simplify the above expression.
Apply the reciprocal identity of tangent function.
Therefore, the exact value of
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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