Hint: use the identity
And note that
is a constant.
I'm having trouble with this question. Normally i would use auxiliary method but I'm having difficulty. Thanks in advance.
(i) Express 2cosθ + 2cos(θ + π∕3) in the form Rcos (θ + α), where R > 0 and, 0 < α < π/2
(ii) Hence, or otherwise, solve 2cosθ + 2cos(θ + π∕3) = 3, for 0 < α < 2π
Hint: use the identity
And note that
is a constant.
Last edited by fan96; 31 Mar 2018 at 8:46 PM.
HSC 2018 - [English Adv.] • [Maths Ext. 1] • [Maths Ext. 2] • [Chemistry] • [Software Design and Development]
_{1}∫^{(3√3)} t^{2} dt cos(3π/9) = log(^{3}√e) | Integral t^{2} dt, From 1 to the cube root of 3. Times the cosine, of three pi over nine, Equals log of the cube root of e.
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Thanks!
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