To rewrite the sine function in terms of tangent, follow these steps:
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Start with the ratio identity involving sine, cosine, and tangent, and multiply each side by cosine to get the sine alone on the left.
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Replace cosine with its reciprocal function.
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Solve the Pythagorean identity tan2θ + 1 = sec2θ for secant.
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Replace the secant in the sine equation.