IsrealF378816 IsrealF378816
  • 03-11-2022
  • Mathematics
contestada

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

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 class=

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JozyahK435910 JozyahK435910
  • 03-11-2022

Given

[tex]\sin x\cos x=\frac{1}{4}[/tex]

Find

solution of the above equation

Explanation

since,

[tex]\sin x\cos x=\frac{1}{4}[/tex]

so, we can write this as,

[tex]\begin{gathered} 2\sin x\cos x=\frac{1}{2} \\ \sin2x=\frac{1}{2} \end{gathered}[/tex]

so,

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

Final Answer

[tex]\frac{\Pi}{12}+n\Pi[/tex]

Answer Link

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