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Draw a sketch of Determine the number of roots of the equation which lie in the interval -180<x<180. I have no clue how to sketch this one, but it says the answer is 3.

Write down the period of the graph of and also the coordinates of a maximum value of y. So, I thought the period was 360 or 2Pi divided by the angle, but I'm not sure what to do here.

between -180 <X< 180 cosXtanX = -1/2 How the fudge do I solve this one? Obviously by reducing to one sign, but how? Tan = sin/cos is all I can think of, but that doesn't help. Please help.

Use the addition formulae to find an expression for cos²(A+B)+sin²(A+B). Verify that your expression reduces to 1. Use a similar method to find an expression for cos²(A+B)-sin²(A+B). Verify that this reduces to cos(2A + 2B) So I get the the stage: cos²A(cos²B + sin²B) + sin²A(-sin²B + cos²B)...