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Help with this question please.

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nickglyn:
Okay I'm understanding it a lot more now, thank you both for your help. But quick question, how did you guys know in this question to draw the sine graph to get the answer? I understand why you did it, but I worry that if I'm under exam conditions I won't think ways to get the answer like that.

RuiAce:

--- Quote from: nickglyn on October 17, 2016, 05:23:41 pm ---Okay I'm understanding it a lot more now, thank you both for your help. But quick question, how did you guys know in this question to draw the sine graph to get the answer? I understand why you did it, but I worry that if I'm under exam conditions I won't think ways to get the answer like that.

--- End quote ---
Because solving a trigonometric inequality is ridiculous using algebraic approaches. The rule of ASTC becomes much harder when you have inequalities as opposed to an equation.

You can do it algebraically, but it is extremely hard and unlikely that a 2U student would be expected to do it so easily. The geometric (sine graph) approach is a visual aid for you here.

Fact: When the algebraic approach gets too hard, attempt a geometric approach.

nickglyn:
Alrighty cheers to all of you for the help!

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