Find All Values of θ, If θ Is in the Interval

question 260

Multiple Choice

Find all values of θ, if θ is in the interval [0, 360°) and has the given function value.
- $\sec \theta = - \sqrt { 2 }$

• A) \(45 ^ { \circ }\) and \(225 ^ { \circ }\)
• B) \(135 ^ { \circ }\) and \(225 ^ { \circ }\)
• C) \(45 ^ { \circ }\) and \(315 ^ { \circ }\)
• D) \(225 ^ { \circ }\) and \(315 ^ { \circ }\)

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Definitions:

Allyl Bromide

A halogenated compound (C3H5Br), often used as a building block in organic synthesis for introducing allyl groups.

Ethyl Bromide

A colorless, volatile compound used primarily in organic synthesis and as a fumigant; it is an alkyl halide with the formula C2H5Br.

Major Organic Product

The primary compound that results from a chemical reaction involving organic reactants, often in higher yield compared to any side products.

Nonbonding

Pertaining to electrons in an atom or molecule that are not shared with other atoms and do not participate in bonding.