Solve the Problem $T = 591 - 76 \cos 2 \theta$

question 226

Multiple Choice

Solve the problem.
-Consider the formula $T = 591 - 76 \cos 2 \theta$ , where $\theta$ is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of $\theta$ for which the value of $T$ will be 567?

• A) \(35.79 ^ { \circ }\)
• B) \(74.58 ^ { \circ }\)
• C) \(71.58 ^ { \circ }\)
• D) \(32.79 ^ { \circ }\)

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Definitions:

Silicon Tetrahedron

A structural unit in silicate minerals, consisting of four oxygen atoms surrounding a silicon atom in a tetrahedral shape.

Cleavage

The tendency of a mineral to break along flat surfaces as determined by the mineral's crystal structure.

Silicate Mineral

Minerals that contain silicon and oxygen, and sometimes other elements, which make up the majority of the Earth's crust.

Known Minerals

Refers to substances with a definite chemical composition and crystalline structure that have been identified and cataloged by scientists.