Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
-$\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 }

Question

Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
-$\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quad$ Find $\sin \frac { \theta } { 2 }$.
A) $- \frac { \sqrt { 10 } } { 10 }$

B) $\frac { \sqrt { 10 } } { 10 }$

C) $\frac { 3 \sqrt { 10 } } { 10 }$

D) $- \frac { 3 } { 10 }$

Quizplus · Accepted Answer

The Answer of Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
-$\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quad$ Find $\sin \frac { \theta } { 2 }$.
A) $- \frac { \sqrt { 10 } } { 10 }$

B) $\frac { \sqrt { 10 } } { 10 }$

C) $\frac { 3 \sqrt { 10 } } { 10 }$

D) $- \frac { 3 } { 10 }$

Use the Information Given About the Angle θ, 0 ≤θ sec⁡θ=−54,π2<θ<π\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quadsecθ=−45​,2π​<θ<π

Use the Information Given About the Angle θ, 0 ≤θ $\sec \theta = - \frac { 5 } { 4 } , \frac { \pi } { 2 } < \theta < \pi \quad$