Question

Find 4 solutions (in radians) of sine = 0.18.

Answer 1

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Answer:

  0.180986, 2.96061, 6.46417, 9.24379

Step-by-step explanation:

The first solution to ...

  sin(x) = 0.18

is found by using the arcsine function:

  x = arcsin(0.18) ≈ 0.180986

Additional positive values can be found by subtracting this angle from π, and by adding multiples of 2π to either of the values obtained so far.

  π - 0.180986 ≈ 2.96061

Adding 2π to these gives two more values:

  0.180986 +2π ≈ 6.46417

  2.96061 +2π ≈ 9.24379