A level maths again (I have a test tomorrow)

Given that sinxcosy + 3cosxsiny = 2sinxsiny-4cosxcosy, express tan y in terms of tax.

All I’ve done is take out the 2 on the left hand side. Will you have to factorise by difference of 2 squares?

Reply 1

Beebob101

u have to turn the left side into a form of Rsin(x+A) and the right side into a form of Kcos(x+B), where R, K, A, B are constants

Reply 2

davros

Original post

by Toomanyenny

Given that sinxcosy + 3cosxsiny = 2sinxsiny-4cosxcosy, express tan y in terms of tax.
All I’ve done is take out the 2 on the left hand side. Will you have to factorise by difference of 2 squares?

You're overthinking this!

I wouldn't normally give too many direct hints, but if you've got a test tomorrow I'll just suggest the following:

note that sin x / cos x = tan x and sin y / cos y = tan y. So what could you divide both sides of your equation by to get something involving just tan x and tan y ? Then rearrange :smile:

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