Find the Unit Tangent Vector T(t) to the Curve R $\langle \sin t , t , \cos t \rangle$

Find the unit tangent vector T(t) to the curve r (t) = $\langle \sin t , t , \cos t \rangle$ when t = 0.

A) $( - 1,0,0 )$

B) $( 0,0 , - 1 )$
C) $( 1,0,0 )$
D) $( 0,0,1 )$
E) $\left( 0 , \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right)$
F) $\left( \frac { 1 } { \sqrt { 2 } } , 0 , \frac { 1 } { \sqrt { 2 } } \right)$

G) $\left( \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } , 0 \right)$

H) $\left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)$

Correct Answer:

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