Sin 1 2

Sin 1 2. Solve for ? sin (x)=1/2 sin(x) = 1 2 sin ( x) = 1 2 Take the inverse sine of both sides of the equation to extract x x from inside the sine x = arcsin(1 2) x = arcsin ( 1 2) The exact value of arcsin(1 2) arcsin ( 1 2) is π 6 π 6 x = π 6 x = π 6 The sine function is positive in the first and second quadrants.

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How to solve sin x = 1/2 Quora

3 Answers Use the trig conversion table and the trig unit circle to solve sinx = 1 2 Trig table gives sinx = 1 2 = sin( π 6) − → x1 = π 6 Trig circle gives another arc x2 = 5 π 6 that has the same sin value ( 1 2) Since f (x) = sinx is a periodic function with period 2π then there are an infinity of arcs that have the same sin.

Solve for ? sin(x)=1/2 Mathway

Answer (1 of 9) Answer 30° and 150° Explanation The equation is sin x = 1/2 and we look for all solutions lying in the interval 0° ≤ x ≤ 360° This means we are looking for all the angles x in this interval which have a sine of 1/2.