SOLUTION: We can find the solutions of sin(x) = 0.35 algebraically. x= .36, 2.78 (b) We find all solutions by adding multiples of pi to the solutions in [0, 2𝜋). The solutions a

Question 1204503: We can find the solutions of
sin(x) = 0.35
algebraically.
x= .36, 2.78
(b) We find all solutions by adding multiples of pi
to the solutions in [0, 2𝜋). The solutions are:
x = ?
(Enter your answers in the form 𝜃 + 2𝜋k, 0 ≤ 𝜃 < 2𝜋. Enter your answers as a comma-separated list.)
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

sin(x) = 0.35
x = arcsin(0.35) or x = pi - arcsin(0.35)
x = 0.36 or x = 2.78

Add on 2pi*k to each to generate all of the solutions.
x = 0.36+2pi*k or x = 2.78+2pi*k
k is an integer

Here's a table of selected values

k	x = 0.36+2pi*k	x = 2.78+2pi*k
-2	-12.21	-9.79
-1	-5.92	-3.5
0	0.36	2.78
1	6.64	9.06
2	12.93	15.35

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