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Maths trigonometry help

Can someone help me with these questions as we've never done examples involving a function on both sides:

2 sin(theta) = 3 cos(theta)
and
2 - cos(theta) = 2 sin^2(theta)

Shorten theta=x if you want
Original post by not_lucas1
Can someone help me with these questions as we've never done examples involving a function on both sides:

2sinθ=3cosθ2 sin \theta = 3 cos \theta and 2−cos⁡θ=2sin⁡2θ2 - \cos \theta = 2 \sin ^2 \theta

Shorten θ=x\theta=x if you want


For the first one, recall that tan⁡θ=sin⁡θcos⁡θ\tan \theta = \dfrac{\sin \theta}{\cos \theta}

For the second one, can you think of a trig identity linking sin⁡2θ\sin ^2 \theta, cos⁡2θ\cos ^2 \theta and 11?
(edited 8 years ago)
Original post by Kvothe the arcane
For the first one, recall that tan⁡θ=sin⁡θcos⁡θ\tan \theta = \dfrac{\sin \theta}{\cos \theta}

For the second one, can you think of a trig identity linking sin⁡2\sin ^2, cos⁡2\cos ^2 and 11?


honestly all we've done on these graphs is finding the answers when given an example. We haven't learnt anything like that so I'm not so sure why they set us this homework
Original post by not_lucas1
honestly all we've done on these graphs is finding the answers when given an example. We haven't learnt anything like that so I'm not so sure why they set us this homework


Oh, wow I see.

So you've not covered any trig identities?
Original post by Kvothe the arcane
Oh, wow I see.

So you've not covered any trig identities?


No, we haven't. I think I'm just going to leave this homework until we actually learn it, thanks for the help anyway
What are the odds, we learnt it today. We had the homework set on Monday for friday then it turns out they set us the wrong homework
Original post by not_lucas1
What are the odds, we learnt it today. We had the homework set on Monday for friday then it turns out they set us the wrong homework


Oh okay. Well good luck:smile: with the solutions.

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