Find the Exact Solutions of the Given Equation in the Interval

question 223

Multiple Choice

Find the exact solutions of the given equation in the interval $[ 0,2 \pi )$ . sin 4x= -2sin 2x

• A) \(x = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• B) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }\)
• C) \(x = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 3 \pi } { 2 }\)
• D) \(x = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }\)
• E) \(x = \frac { 7 \pi } { 6 } , \frac { 3 \pi } { 2 } , \frac { 11 \pi } { 6 }\)

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Definitions:

Integrated Pest Management

A sustainable approach to managing pests by combining biological, cultural, mechanical, and chemical controls to minimize environmental and health risks.

Ecological Approach

A perspective or method in environmental management and research focusing on the relationships between organisms and their environments, emphasizing holistic and systemic connections.

Aerial Spraying

The application of pesticides or other chemicals from aircraft to control pests, diseases, or vegetation over large areas efficiently.

Target Pest

A specific unwanted organism that pest control measures are aimed at eliminating or reducing, often to protect crops or human health.