# Thread: Trigonometry question

1. ## Trigonometry question

HI,
I WOULD APPRECIATE YOUR HELP WITH THE FOLLOWING QUESTION PLEASE.

QUESTION: Without using a calculator or maths tables, show that

$Sin^2 \frac{\pi}{6} + Sin^2\frac{\pi}{4} + Sin^2\frac{\pi}{3} = \frac{3}{2}$

Thank you.

2. ## Re: Trigonometry question

Originally Posted by Seaniboy
QUESTION: Without using a calculator or maths tables, show that

$Sin^2 \frac{\pi}{6} + Sin^2\frac{\pi}{4} + Sin^2\frac{\pi}{3} = \frac{3}{2}$
You are expected to know that:
$\sin\left(\frac{\pi}{6}\right)=\frac {1}{2},~\sin\left( \frac {\pi}{4}\right)=\frac{\sqrt2}{2},~\&~\sin\left( \frac {\pi}{3}\right)= \frac {\sqrt3}{2}$

3. ## Re: Trigonometry question

Thanks, Plato.

4. ## Re: Trigonometry question

Originally Posted by Seaniboy
HI,
I WOULD APPRECIATE YOUR HELP WITH THE FOLLOWING QUESTION PLEASE.

QUESTION:
Can you repeat that? I can't hear you...speak up!

-Dan