a Sketch on the same set of axes, in the interval 0 x 180, the

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a Sketch on the same set of axes, in the interval 0 ≤ x ≤ 180°, the graphs of y = tan (x − 45°) and y = −2 cos x, showing the coordinates of points of intersection with the axes.

b. Deduce the number of solutions of the equation tan (x − 45°) + 2 cos x = 0, in the interval 0 ≤ x ≤ 180°.

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