Prove the identity. 1 + sin t cos t 1 - sin t cos t We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate of the denominator. We can then use a Pythagorean Identity on the numerator and simplify. 1 + sin t cos t cos t 1 - sin t 1 - sin t (cos t)(1 + sin t) 1 - (cos t)(1 + sin t) 1 + sin t cos t

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