Question

Which of the following are solutions to the equation sinx cosx = (sqrt of 3)/4? Check all that apply.

A. (pi/6)+npi
B. (pi/12)+npi
C. (2pi/6)+npi
D. (pi/12)+(npi)/2

Answer 1

he/she is right that's the answer

Answer 2

`\sin x \cos x = (\sqrt 3)/(4)`

`2 \sin x \cos x = (\sqrt 3)/(2)`

`\sin 2x = \sin \frac \pi 3`

`2x = \frac \pi 3 + 2 \pi n \textrm{ or } 2x = (\pi - \frac \pi 3) + 2 \pi n \quad \textrm{integer } n`

`x = \frac \pi 6 + \pi n \textrm{ or } x = \frac \pi 3 + \pi n`

Choices A and C