Find the Exact Solutions of the Given Equation in the Interval

question 49

Multiple Choice

Find the exact solutions of the given equation in the interval [0,2π) . sin 2x = sin x
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• A) \(x = \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }\)
• B) \(x = 0 , \frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• C) \(x = \frac { \pi } { 2 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• D) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }\)
• E) \(x = 0\)

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Definitions:

NPV

Net Present Value; a calculation used to determine the present value of a series of future cash flows, less the initial investment.

Conventional Cash Flow

A pattern of cash flow over time where an initial outlay is followed by a series of positive cash inflows.

Cash Flows

The entirety of cash and cash-equivalent assets being moved into and exiting a company.

Present Value

The valuation today of an asset or cash flow that is received in the future, taking into account a specific interest rate.