meredith48034
meredith48034 meredith48034
  • 01-06-2020
  • Mathematics
contestada

find all solutions to the equation 5sin(3pix)+8=4 in the interval 0 < x < 2
​

find all solutions to the equation 5sin3pix84 in the interval 0 lt x lt 2 class=

Respuesta :

amna04352
amna04352 amna04352
  • 02-06-2020

Answer:

First one

Step-by-step explanation:

5sin(3pix)+8=4

5sin(3pix) = -4

sin(3pi x) = -0.8

Basic angle: sin^-1(0.8) = 0.927295218

3pi x = pi+0.927295218, 2pi-0.927295218

3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,

x = above values/3pi

x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016

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