4.3 Trigonometric Function on the Circle.

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.



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