θ Is an Acute Angle and Sin θ and Cos $\sin \theta = \frac { 3 } { 7 } , \cos \theta = \frac { 2 \sqrt { 10 } } { 7 } .$

question 184

Multiple Choice

θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
- $\sin \theta = \frac { 3 } { 7 } , \cos \theta = \frac { 2 \sqrt { 10 } } { 7 } .$ Find $\csc \theta$

• A) \(\frac { 7 } { 3 }\)
• B) \(\frac { 7 \sqrt { 10 } } { 20 }\)
• C) \(\frac { 2 \sqrt { 10 } } { 3 }\)
• D) \(\frac { 3 \sqrt { 10 } } { 20 }\)

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Definitions:

Mandible

The lower jawbone, which is the largest and strongest bone in the human face, involved in chewing and forming the lower part of the facial skeleton.

Foramen

A natural opening or passage, especially in a bone, through which nerves or blood vessels pass.

Tubercle

Lump on a bone.

Sinus

A cavity within a bone or other tissue, most often filled with air or fluid.