Sine Rule IB Math Studies

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Sine Rule IB Math Studies

IB Mathematical Studies – Trigonometry, Sine Rule

How can we find the side $a$ of a triangle ABC given that $\hat{A}=30^{\circ} , c=6 \ and\ \hat{C}=60^{\circ}$ ?

Thanks!
hill

Posts: 0
Joined: Tue Mar 19, 2013 8:49 pm

Re: Sine Rule IB Math Studies

IB Maths SL – Trigonometry, Sine Rule

The Sine rule states

$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

So in your case the side $a$ can be calculated as follows:

$\frac{a}{sin30^{\circ}}=\frac{6}{sin60^{\circ}}$

$a=\frac{1}{2} \frac{6}{\frac{\sqrt 3}{2}}=\frac{6}{ \sqrt 3}$

Hope these help!!
elizabeth

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Joined: Mon Jan 28, 2013 8:09 pm

Re: Sine Rule IB Math Studies

Thanks Elisabeth!!
hill

Posts: 0
Joined: Tue Mar 19, 2013 8:49 pm