A Tangent Half-Angle Fraction

★ 6/10trigonometry Substitution Trigonometric Identities

Problem

Suppose

\frac{1 + \sin x}{\cos x} = \frac{22}{7}, \qquad \frac{1 + \cos x}{\sin x} = \frac{m}{n}

with $\dfrac{m}{n}$ in lowest terms. Find $m + n$ .

Answer

Solution

Difficulty	6/10
Topics	trigonometry, Substitution, Trigonometric Identities

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