quick trig question... (1 Viewer)

frippyful · Jan 27, 2012

find the exact value of co sec 60 (degrees)

this was so long ago i cant remember, can someone tell me how you get the answer. i already have the answer but need the method

thanks

AAEldar · Jan 27, 2012

SpiralFlex · Jan 27, 2012

$Now, we know that,$

$\frac{1}{\sin x}=\csc x$

$$So that would mean$ \; \csc 60 = \frac{1}{\sin 60}$

$Now from our famous triangle, our identity appears$

$\sin 60=\frac{\sqrt{3}}{2}$

$\csc 60 = \frac{1}{\frac{\sqrt{3}}{2}}$

$\therefore \csc 60 =\frac{2}{\sqrt{3}}$

$Rationalising,$

$\frac{2}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}$

$=\frac{2 \sqrt{3}}{3}$

Edit: Ninja-ed.

Carrotsticks · Jan 27, 2012

SpiralFlex said:
$Now, we know that,$

$\frac{1}{\sin x}=\csc x$

$$So that would mean$ \; \csc 60 = \frac{1}{\sin 60}$

$Now from our famous triangle, our identity appears$

$\sin 60=\frac{\sqrt{3}}{2}$

$\csc 60 = \frac{1}{\frac{\sqrt{3}}{2}}$

$\therefore \csc 60 =\frac{2}{\sqrt{3}}$

$Rationalising,$

$\frac{2}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}$

$=\frac{2 \sqrt{3}}{3}$

Edit: Ninja-ed.

Spiral, you can do the degree symbol by raising it to the power of \circ

$60^{\circ} $ versus $ 60$

SpiralFlex · Jan 27, 2012

Carrotsticks said:
Spiral, you can do the degree symbol by raising it to the power of \circ

$60^{\circ} $ versus $ 60$

Yeah I just couldn't be bothered haha. I use to do it though.

Carrotsticks · Jan 27, 2012

Oh the joys of copy/paste...

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quick trig question... (1 Viewer)

frippyful

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AAEldar

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SpiralFlex

Well-Known Member

Carrotsticks

Retired

SpiralFlex

Well-Known Member

Carrotsticks

Retired

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