Sin theta = 0.76, find theta

49.46, 130.54 degrees (0 < theta < 360).

Step-by-step explanation:

The angle whose sine is 0.76 = 49.46 degrees.

This is the angle in the first quadrant. The sine is also positive in the second quadrant so another answer is 180 - 49.46 = 130.54 degrees.

Ф = 0.863 radians or 49.46° (degrees)

Step-by-step explanation:

We are given:

sin Ф = 0.76

We need to find Ф

Ф = sin^-1 (0.76)

Ф = 0.863 radians

Ф = 49.46°

So, Ф = 0.863 radians or 49.46° (degrees)