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Calculate the value of −2tan(−120∘). b On the same set of axes sketch the graphs of y=2sin(x−60∘) and y=−2tanx, in the interval −180∘⩽x⩽180∘, showing the coordinates of points of intersectior with the coordinate axes in exact form. c Explain how you can use the graph to identify solutions to the equations y=2sin(x−60∘)+2tanx=0 in the interval −180∘⩽x⩽180∘. d Write down the number of solutions of the equation y=2sin(x−60∘)+2tanx=0 in the interval −180∘⩽x⩽180∘.
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