Find the exact value of the function. Rationalize the denominator if necessary.
-sec 150°
A) $- \frac { 2 \sqrt { 3 } } { 3 }$
B) $- \sqrt { 2 }$
C) $\frac { 2 \sqrt { 3 } } { 3 }$
D) $\sqrt { 2 }$

Question

Find the exact value of the function. Rationalize the denominator if necessary.
-sec 150° 
A) $- \frac { 2 \sqrt { 3 } } { 3 }$
B) $- \sqrt { 2 }$
C) $\frac { 2 \sqrt { 3 } } { 3 }$
D) $\sqrt { 2 }$

Quizplus · Accepted Answer

Secant is the reciprocal of cosine. Cos(150°) = -√3/2, so sec(150°) = -2/√3, which simplifies to -2√3/3 when rationalized.

Find the Exact Value of the Function −233- \frac { 2 \sqrt { 3 } } { 3 }−323​​

Find the Exact Value of the Function $- \frac { 2 \sqrt { 3 } } { 3 }$