Without solving, how do you determine the number of solutions for the equation $tantheta=-1$ in $-360^circ<=theta<=180^circ$ ?

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Without solving, how do you determine the number of solutions for the equation $tantheta=-1$ in $-360^circ<=theta<=180^circ$ ?

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Answer 1 · 2018-05-02T22:30:30

Tangents are slopes, so how many times in that range does the slope equal -1, basically in the middle of the second and fourth quadrants, which appear 3 times in that range of six quadrants.

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Without solving, how do you determine the number of solutions for the equation $tantheta=-1$ in $-360^circ<=theta<=180^circ$ ?

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Without solving, how do you determine the number of solutions for the equation tantheta=-1tantheta=-1 in -360^circ<=theta<=180^circ-360^circ<=theta<=180^circ?

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Without solving, how do you determine the number of solutions for the equation $tantheta=-1$ in $-360^circ<=theta<=180^circ$ ?