Use a Sum or Difference Identity to Find the Exact $\sin 125 ^ { \circ } \cos 65 ^ { \circ } - \cos 125 ^ { \circ } \sin 65 ^ { \circ }$

question 145

Multiple Choice

Use a sum or difference identity to find the exact value.
- $\sin 125 ^ { \circ } \cos 65 ^ { \circ } - \cos 125 ^ { \circ } \sin 65 ^ { \circ }$

• A) \(\frac { \sqrt { 3 } } { 3 }\)
• B) \(\frac { \sqrt { 3 } } { 2 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 25 } { 12 }\)

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Definitions:

Mandibular Fossa

A depression in the temporal bone that forms the socket for the condylar process of the mandible, contributing to the temporomandibular joint.

Temporal

Related to time or also pertaining to the temples of the head near the temporal bones of the skull.

Sphenoid

A butterfly-shaped bone at the base of the skull, behind the eyes, touching on various important structures and enclosing the pituitary gland.

Maxilla

the upper jawbone in vertebrates, which is key to the formation of the palate, nose, and eye orbits.