solve the equation sin x=0.2 on the interval 0 is less than or equal to x is than (2pi)

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- Jan 28th 2009, 06:23 PMSoYahSolving the Sine Equation
solve the equation sin x=0.2 on the interval 0 is less than or equal to x is than (2pi)

- Jan 28th 2009, 06:33 PMMush

On way to solve this is to write:

, and simplify plug it into your calculator.

Another way is to consider a triangle. If you take the sin of an angle in a triangle, it gives the ratio of the length of the side opposite that angle and the hypotenuse.

Hence the hypotenuse of our triangle is 5, and the opposite side from angle x is 1. From pythagorus we calculate that the side adjacent to the angle x is

Now you know all lengths, you can work out the angle using the cosine rule.