# Trigonometry question

• Jul 21st 2013, 01:24 PM
Seaniboy
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.
• Jul 21st 2013, 01:43 PM
Plato
Re: Trigonometry question
Quote:

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:
$\sin\left(\frac{\pi}{6}\right)=\frac {1}{2},~\sin\left( \frac {\pi}{4}\right)=\frac{\sqrt2}{2},~\&~\sin\left( \frac {\pi}{3}\right)= \frac {\sqrt3}{2}$
• Jul 22nd 2013, 06:59 AM
Seaniboy
Re: Trigonometry question
Thanks, Plato.
• Jul 22nd 2013, 06:36 PM
topsquark
Re: Trigonometry question
Quote:

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