Unit Circle and Trigonometric Functions

4.3 Trigonometric Function on the Circle.

Thursday, January 7 /2021

Open Ended

1. The given point lies on the terminal side of an angle θ in standard position. Find the values of the six trigonometric functions of θ.

(3,4)

Open Ended

Find the exact value of each trigonometric function, if defined. If not defined, write undefined.



$$Sin\left(\frac{\pi}{2}\right)$$  

Open Ended

Find the exact value of each trigonometric function, if defined. If not defined, write undefined.



$$\tan2\pi$$  

Open Ended

Find the exact value of each trigonometric function, if defined. If not defined, write undefined.



$$\cot\left(-180^o\right)$$  

Open Ended

 Find its reference angle.



$$210^o$$  

Open Ended

 Find its reference angle.

$$\frac{7\pi}{12}$$  

Open Ended

Find the exact value of each expression.



$$\cos\left(\frac{4\pi}{3}\right)$$  

Open Ended

Find the exact value of each expression.



$$\tan\left(\frac{11\pi}{6}\right)$$  

Open Ended

Find the exact value of each expression.

$$\sin300^o$$  

Open Ended

Find the exact values of the five remaining trigonometric functions of θ.



$$\sin\theta\ =\ -\frac{1}{5},\ where\ \cos\theta>0$$  

Open Ended

Find the exact values of the five remaining trigonometric functions of θ.



$$\sec\theta=\sqrt{3},where\sinθ<0\ and\cosθ>0$$