bakerbw5 bakerbw5
  • 11-05-2018
  • Mathematics
contestada

what are solutions to the equation sinx cosx = square root 3 over4

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-05-2018
[tex]\sin(x)\cos(x)=\dfrac{\sqrt{3}}{4}\\\\2\sin(x)\cos(x)=\dfrac{\sqrt{3}}{2}\\\\\sin(2x)=\dfrac{\sqrt{3}}{2}\\\\2x=\arcsin\left( \dfrac{\sqrt{3}}{2} \right)\\\\2x=\left\{ \dfrac{\pi}{3},\dfrac{2\pi}{3}\right\}+2n\pi\\\\\boxed{x=\left\{ \dfrac{\pi}{6},\dfrac{\pi}{3}\right\}+n\pi}[/tex]
Ver imagen sqdancefan
Answer Link

Otras preguntas

Ram started from his house at 8:30 a.m and reached his school at 9:10 a.m for how long did he walk with with method
detects electromagnetic frequencies outside the visible spectrum that reaches Earth
Please Help Me.... I need Help Help Badly If i dont Get my Grade Up ima Be Sent to Boot Camp
A quadratic function has zeros of -2 and 14. Find its axis of symmetry.
CAN ANYONE PLEASE HELP ME WITH THIS QUESTION ASAP ignore the answer that is already there i pressed it by an accident
A 48 kg cart is sitting motionless at the top of the hill. At what height, did the cart start at, to reach 88435 J of energy at the end of the ride? Group of an
Students found that a box with sides 4cm, 4cm, and 5 cm held 192 Skittles. - What is the volume of the box? - What is the ratio of skittles to the volume of the
Kevin makes 78.37 per day . How much does he make in 7 days
Why did Europe not like the Monroe doctrine?
If you apply for a patent for a new invention this application is evaluated for approval by