# Am I on the right track?

• Feb 5th 2010, 12:47 PM
MathBlaster47
Am I on the right track?
I have a few questions that I'm pretty sure that I have solved, but need to make sure of:

Find the exact value of the six trigonometric functions of $\frac{\pi}{4}$ radians.(Leave your answer in radical form.)

$\sin\frac{\pi}{4}=.7104$
$\cos\frac{\pi}{4}=.7038$
$\tan\frac{\pi}{4}=1.009$
$\csc\frac{\pi}{4}=1.408$
$\sec\frac{\pi}{4}=1.421$
$\cot\frac{\pi}{4}=.9908$

I think I got them right, I consulted a table, so I'm just being double sure.

Thank you!
• Feb 5th 2010, 12:53 PM
VonNemo19
Quote:

Originally Posted by MathBlaster47
I have a few questions that I'm pretty sure that I have solved, but need to make sure of:

Find the exact value of the six trigonometric functions of $\frac{\pi}{4}$ radians.(Leave your answer in radical form.)

$\sin\frac{\pi}{4}=.7104$
$\cos\frac{\pi}{4}=.7038$
$\tan\frac{\pi}{4}=1.009$
$\csc\frac{\pi}{4}=1.408$
$\sec\frac{\pi}{4}=1.421$
$\cot\frac{\pi}{4}=.9908$

I think I got them right, I consulted a table, so I'm just being double sure.

Thank you!

• Feb 5th 2010, 12:54 PM
Henryt999
Sorry I dont think they are...
$\sin\frac{\pi}{4}=.7104$ that is $\frac{\sqrt2}{2}$
$\cos\frac{\pi}{4}=.7038$ sin and cosine of $\frac{\pi}{4}$ are equal
$\tan\frac{\pi}{4}=1.009$ this is exactly 1.000
$\csc\frac{\pi}{4}=1.408$
$\sec\frac{\pi}{4}=1.421$
$\cot\frac{\pi}{4}=.9908$

Hope it helps..
• Feb 5th 2010, 02:08 PM
MathBlaster47
Well...I cheated a little, you see I consulted a table for my answers as I hadn't the slightest idea how to get my answers.
How do I work out such a question?
• Feb 5th 2010, 02:10 PM
VonNemo19
Quote:

Originally Posted by MathBlaster47
Well...I cheated a little, you see I consulted a table for my answers as I hadn't the slightest idea how to get my answers.
How do I work out such a question?

Math Concepts Explained: Special Angles in Trigonometry
• Feb 5th 2010, 04:05 PM
MathBlaster47
ah....Thank you!
An explanation I can understand!
• Feb 18th 2010, 02:49 PM
mathemagister
Quote:

Originally Posted by MathBlaster47
I have a few questions that I'm pretty sure that I have solved, but need to make sure of:

Find the exact value of the six trigonometric functions of $\frac{\pi}{4}$ radians.(Leave your answer in radical form.)

$\sin\frac{\pi}{4}=.7104$
$\cos\frac{\pi}{4}=.7038$
$\tan\frac{\pi}{4}=1.009$
$\csc\frac{\pi}{4}=1.408$
$\sec\frac{\pi}{4}=1.421$
$\cot\frac{\pi}{4}=.9908$

I think I got them right, I consulted a table, so I'm just being double sure.

Thank you!

So just to make sure you got the last three:

$\csc\frac{\pi}{4}=\frac{1}{sin\frac{\pi}{4}} = \frac{2}{\sqrt2}=\sqrt2$
$\sec\frac{\pi}{4}=\frac{1}{cos\frac{\pi}{4}} = \frac{2}{\sqrt2}=\sqrt2$
$\cot\frac{\pi}{4}=\frac{1}{tan\frac{\pi}{4}}=\frac {1}{1} = 1$