Express Trig Functions in Terms of Tan
Given the identity \(tan^2θ + 1 = sec^2θ\), express \(sinθ\) and \(cosθ\) purely in terms of \(tanθ\). Hint: Use the relations \(tanθ = \frac{sinθ}{cosθ}\) and \(cosθ = \frac{1}{secθ}\).
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