a. On the same set of axes, in the interval 0 x 360, sketch the

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a. On the same set of axes, in the interval 0 ≤ x ≤ 360°, sketch the graphs of y = tan (x − 90°) and y = sin x. Label clearly any points at which the graphs cross the coordinate axes.

b. Hence write down the number of solutions of the equation tan (x − 90°) = sin x in the interval 0 ≤ x ≤ 360°.

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