Question

Which of the following are solutions to the equation sinx cosx = 1? Check all that apply. OA А 2 B. 57 12 T c. + OD. + 품

Answer 1

Given

`\sin x\cos x=(1)/(4)`

Find

solution of the above equation

Step-by-step explanation

since,

`\sin x\cos x=(1)/(4)`

so, we can write this as,

`\begin{gathered} 2\sin x\cos x=(1)/(2) \\ \sin2x=(1)/(2) \end{gathered}`

so,

`\begin{gathered} 2x=\sin^(-1)((1)/(2)) \\ 2x=(\Pi)/(6)+2n\Pi \\ x=(\Pi)/(12)+n\Pi \end{gathered}`

Final Answer

`(\Pi)/(12)+n\Pi`