Trigonometry graph?

Please post an example of a question where you think this is an issue.

Q.3 (ii) (I hope the attachment works)
Can we show the graph in the space provided or we can do in rough?
Will marks be reduced if not shown and only direct answer after the process?
I hope you understand what I mean.

Q.3 (ii) (I hope the attachment works)
Can we show the graph in the space provided or we can do in rough?
Will marks be reduced if not shown and only direct answer after the process?
I hope you understand what I mean.

OK, Q3(ii) is a "Hence" question where the examiner is expecting you to apply the result of Q3(i) to solve the trig equation in an efficient way. The main route to the solution is trig identities and algebra. There is no need for curve sketching here, but my personal view is that curve sketching to check a result roughly or to help with visualisation is always a good thing. It may also help the examiner to understand your line of approach.

One small tip: in questions like this, you can always use the given result of part (i) to complete part (ii) even if you were unable to complete the proof in part (i).

The graphs of trigonometric functions aren't needed for that question. They want you to use algebra and identities to simplify the expression into a form so you can solve it.