Use the Given Information to Compute $\cos \left( \frac { \theta } { 2 } \right)$

question 12

Multiple Choice

Use the given information to compute $\cos \left( \frac { \theta } { 2 } \right)$ . $\sin \theta = - \frac { 1 } { 8 }$ and $180 ^ { \circ } < \theta < 270 ^ { \circ }$

• A) \(- \frac { 3 \sqrt { 10 } } { 5 }\)
• B) \(\frac { 3 \sqrt { 6 } } { 14 }\)
• C) \(- \frac { \sqrt { 8 - 3 \sqrt { 7 } } } { 4 }\)
• D) \(- \frac { \sqrt { 5 + 3 \sqrt { 7 } } } { 3 }\)
• E) \(\frac { \sqrt { 5 - 3 \sqrt { 10 } } } { 3 }\)

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Definitions:

Compiler Warning

A message from the compiler indicating potential issues in code that might not prevent the program from compiling.

Macro Instance

A specific occurrence where a macro (a sequence of instructions or declarations that can be included in the code) is expanded.

#define Statement

A preprocessor directive used in C/C++ for macro definition to create symbolic constants or to perform macro substitution.