Solve the Following Trigonometric Equation on the Interval $[ 0,2 \pi )$

question 76

Multiple Choice

Solve the following trigonometric equation on the interval $[ 0,2 \pi )$ .
$$\sin ( x ) + \cos ( x ) = 0$$

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

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Definitions:

Robinson-Patman Act

U.S. legislation aimed at preventing anticompetitive practices by producers, specifically price discrimination.

Sherman Antitrust Act

A landmark federal statute passed in the United States in 1890 aimed at promoting economic competitiveness by prohibiting monopolies, cartels, and other forms of anticompetitive behavior.

Decreases Competition

When the number of competitors in the market diminishes, leading to less competition.

Robinson-Patman Act

A federal law in the United States designed to inhibit anticompetitive behaviors among producers by prohibiting price discrimination.