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Provide an Appropriate Response tanθ+1=secθ\tan \theta + 1 = \sec \theta

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Provide an appropriate response.
-A student claims that the equation tanθ+1=secθ\tan \theta + 1 = \sec \theta is an identity, since by letting θ=0\theta = 0 ^ { \circ } we get 0+1=10 + 1 = 1 , a true statement. Comment on this student's reasoning.

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