Finding Values of Trigonometric Functions at (pi/4)

Finding Values of Trigonometric Functions at (pi/4)

Multiple Choice

Find the  $\sin\ \frac{\pi}{4}$ .

•  $\pi$  

•  $\sqrt{\frac{1}{2}}$  

•  $\frac{\sqrt{2}}{2}$  

Multiple Choice

Find the $\cos\ \frac{\pi}{4}.$ 

•  $\frac{\pi}{4}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

Multiple Choice

Find the $\tan\ \frac{\pi}{4}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{2}{\sqrt{2}}$  

•  $1$  

•  $-1$  

Multiple Choice

Find the $\csc\ \frac{\pi}{4}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

• 2

• 1

Poll

How good are you at finding all six trigonometric functions

• Very good.

• So, so.

• Not good at all

• Not sure.

Take a mental break.

You can do this!

Multiple Choice

P on the unit circle is $\left(\frac{\sqrt{2}}{2},\ \frac{\sqrt{2}}{2}\right)$  when  $t=\frac{\pi}{4}.$   What is the $\sec\ \frac{\pi}{4}?$  

•  $\sqrt{2}$  

•  $2$  

•  $\frac{\sqrt{2}}{2}$  

Open Ended

If the  $\tan\ \frac{\pi}{4}$  is = 1, what is the  $\cot\ \frac{\pi}{4}?$  

Open Ended

The point P on the unit circle that corresponds to $t=\frac{\pi}{4}$  

has coordinates  $\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$  . Thus  $\sin\ \frac{\pi}{4}=$  

Open Ended

The point P on the unit circle that corresponds to $t=\frac{\pi}{4}$  

has coordinates  $\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$  . Thus  $\cos\ \frac{\pi}{4}=$  

Open Ended

The point P on the unit circle that corresponds to $t=\frac{\pi}{4}$  

has coordinates  $\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$  . Thus  $\tan\ \frac{\pi}{4}=$