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Can you help me with this trig. problem?

Verify the following identities:

tan (t + Π) = tan t

1 Answer

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  • 1 decade ago
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    tan(x) = sin(x) / cos(x)

    It holds that sin(x+π) = -sin(x) and cos(x+π) = -cos(x) (this is obvious from the geometric meaning of the functions), therefore tan(x+π) = sin(x+π) / cos(x+π) = (-sin(x))/(-cos(x)) = sin(x)/cos(x) = tan(x).

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