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