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    I've got this:

    If sin x = p, where x is an acute angle, find in terms of p the values of:
    sin (180º - x), 2sin (180º + x), sin (540º - x), etc.

    And also:
    If cos y = q, where y is an acute angle, find in terms of q the values of:
    cos (pi - y), 3 - 2cos (pi + y), cos (2pi - y), etc.

    How do I do this?
    I've got my exam in three weeks and don't really know how to do this.

    Cheers!
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    you have done the CAST diagram?

    ie the diagram with the quadrants where sin is +ve cos +ve sin is +ve cos is-ve
    sin is -ve cos -ve and sin -ve cos +ve

    so for example sin (360-x) means im in the quadrant where sin x is -ve
    then sin(360-x)=-sin(x)=-p
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    I don't think mixing radians and degrees is a good idea.
    If you're unsure, you can always do a quick sketch of the sin/cos/tan graph to find other solutions.
 
 
 
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