Use a calculator to find the value of the expression in radian measure rounded to two decimal places.
-$\sec ^ { - 1 } \left( - \frac { 7 } { 3 } \right)$
A) $2.01$
B)$- 2.01$
C) $0.50$
D) $1.13$

Question

Quizplus · Accepted Answer

The secant function is the reciprocal of the cosine function. The range of the arcsecant function, which is the inverse of the secant function, is [0, π/2) ∪ (π/2, π] for real numbers. Since we are dealing with a negative value, $\sec^{-1}\left(-\frac{7}{3}\right)$, the angle must be in the second quadrant where secant is negative. Using a calculator to find the exact value in radians and rounding to two decimal places gives approximately 2.01 radians.

Use a Calculator to Find the Value of the Expression sec⁡−1(−73)\sec ^ { - 1 } \left( - \frac { 7 } { 3 } \right)sec−1(−37​)

Use a Calculator to Find the Value of the Expression $\sec ^ { - 1 } \left( - \frac { 7 } { 3 } \right)$