Solve the Multiple-Angle Equation $\cos \frac { 3 x } { 6 } = \frac { \sqrt { 2 } } { 2 }$

question 8

Multiple Choice

Solve the multiple-angle equation.​ $\cos \frac { 3 x } { 6 } = \frac { \sqrt { 2 } } { 2 }$ ​

• A) \(\frac { \pi } { 3 } + 2 n \pi , \frac { 2 \pi } { 3 } + 2 n \pi\)
• B)​ \(\frac { \pi } { 3 } + 4 n \pi , \frac { 2 \pi } { 3 } + 4 n \pi\)
• C)​ \(\frac { \pi } { 3 } + 3 n \pi , \frac { 2 \pi } { 3 } + 3 n \pi\)
• D)​ \(\frac { \pi } { 2 } + 4 n \pi , \frac { 7 \pi } { 2 } + 4 n \pi\)
• E)​ \(\frac { 5 \pi } { 3 } + 2 n \pi , \frac { 4 \pi } { 3 } + 3 n \pi\)

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Definitions:

Cross Section

A diagram representing the geology as a two-dimensional slice through the land. See also geologic cross section.

Cleaved Rocks

Rocks that have been split or sliced along very smooth, flat surfaces, often due to intense pressure.

Unconformity

A boundary between underlying and overlying rock strata representing a significant break or gap in the geologic record; an unconformity represents an interval of nondeposition or erosion, commonly accompanied by uplift.

Intrusive Contact

The boundary between intrusive igneous rocks and the surrounding country rock into which they have intruded.