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:

Reinvestment Assumption

An assumption in finance that future cash flows from an investment will be reinvested at a constant rate.

Payback Period

The length of time it takes for an investment to generate cash flows sufficient to recover its initial cost, often used to evaluate the profitability of an investment.

Time Value

The concept that money available at the present time is worth more than the same amount in the future due to its potential earning capacity.

Payback Period

The length of time required for an investment to recover its initial outlay in terms of profits or savings.