Tangent Addition Formula

Question

Find the value of tan( π + θ) if θ terminates in Quadrant III and sinθ = -.

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Answer 1

tangent is positive and sine is negative in quadrant 3

So the legs are -5, -12 and the hypotenuse is 13

THe base angle is inverse_sine( 5/13) = 22.6198649480....

so then the angle is really 180 + Theta = pi + theta = 202.6198649480...

The tangent is 5/12