General Solutionfor Trig Equations HSC 3U (1 Viewer)

Nktnet · Oct 20, 2018

Find the general solution for:

Q1:
sin x + cos x = 1

Q2:
√3 cosx - sinx = 1

Thanks!

InteGrand · Oct 20, 2018

Nktnet said:
Find the general solution for:

Q1:
sin x + cos x = 1

Q2:
√3 cosx - sinx = 1

Thanks!

$\noindent You can do both of them by using the ``auxiliary angle method'' to convert something of the form$

$a\cos \theta + b\sin \theta$

$\noindent into the form$

$R\cos \left(\theta-\phi\right).$

$\noindent (You can check your textbook for this if you haven't learnt it yet or want to refresh your memory.)$

HeroWise · Oct 21, 2018

Nktnet · Oct 21, 2018

Thank you so much! @Herowise
and also @Integrand.

Just that for Q2, I think you swapped the pi/6 with pi/2.
Otherwise all steps are clear! <3

General Solutionfor Trig Equations HSC 3U (1 Viewer)

Nktnet

New Member

InteGrand

Well-Known Member

HeroWise

Active Member

Nktnet

New Member

Users Who Are Viewing This Thread (Users: 0, Guests: 1)