Find the Exact Values of the Three Trignometric Functions of the Angle

Multiple Choice

Find the exact values of the three trignometric functions of the angle $\theta$ $( \sin \theta , \cos \theta , \tan \theta )$ shown in the figure. (Use the Pythagorean Theorem to find the third side of the traingle.)

$a=2$

A) $\sin \theta = \sqrt { 2 } , \tan \theta = 1 , \quad \sec \theta = \frac { \sqrt { 2 } } { 2 }$
B) $\sin \theta = 1 , \tan \theta = \sqrt { 2 } , \quad \sec \theta = \frac { \sqrt { 2 } } { 2 }$
C) $\sin \theta = \frac { \sqrt { 2 } } { 2 } , \tan \theta = \sqrt { 2 } , \sec \theta = 1$
D) $\sin \theta = \frac { \sqrt { 2 } } { 2 } , \tan \theta = 1 , \sec \theta = \sqrt { 2 }$
E) $\sin \theta = 1 , \tan \theta = \frac { \sqrt { 2 } } { 2 } , \sec \theta = \sqrt { 2 }$