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Solve for $x$: $\text{cosec}2x = 2.114$ for $2x \in [0^{\circ};180^{\circ}]$
in Grade 12 Technical Maths by Diamond (40.1k points) | 10 views

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cosec2x = 1/sin2x = 2.114

                    1 = 2.114sin2x

                  sin2x = 1/2.114

                        2x = 28.23 degrees

sinx is positive in 1st and 2nd quadrants,

in 2nd quadrant, 2x = 180 - 28.23

                                 = 151.77 degrees

therefore 2x = 28.23 or 151.77 degrees

                  x = 14.12 degrees or  75.88 degrees
by Silver Status (31.3k points)

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