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

question 2

Multiple Choice

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

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

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Definitions:

Symbolize

To use symbols to represent ideas, concepts, or other aspects of reality, allowing for abstract discussion or representation.

Symbolize

To represent, stand for, or express something abstract or intangible by means of symbols or a symbolic action.

Main Connective

The primary logical operator in a compound proposition that defines the proposition's overall truth value.

Main Connective

The principal operator in a logical proposition that determines the proposition's overall truth value.