Solve the equation. 2 sinx = 0.8. 0< x < 360 degrees
sin x=.4
x= arcsin (.4)
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arcsin(.4) in degrees.
To solve the equation 2 sinx = 0.8 for 0 < x < 360 degrees, you can follow these steps:
Step 1: Divide both sides of the equation by 2 to isolate sin x.
sin x = 0.8 / 2
sin x = 0.4
Step 2: Find the angle whose sine is 0.4 using a scientific calculator or by referencing a sine table. This angle could be in radians or degrees depending on the mode of your calculator or the table you use.
Step 3: To find the angle in degrees, use the inverse sine function (sin^(-1) or arcsin) on the calculator. This function gives you the value of the angle whose sine is the given value.
x = sin^(-1)(0.4)
Step 4: Evaluate the inverse sine function using the calculator to find the value of x. Make sure that your calculator is set to the appropriate mode (degrees in this case).
x ≈ 23.58 degrees
Therefore, the solution to the equation 2 sinx = 0.8 for 0 < x < 360 degrees is x ≈ 23.58 degrees.