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Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
To find which angle has a sine of 0.13, you calculate arcsin or sin^-1(0.13) =7.47 degrees 7.47 degrees has a sine of 0.13. There is also another angle , below 360 , has a sine of 0.13. Subtract 7.47 from 180. 180-7.47 = 172.53 degrees also has a sine of 0.13.
The Sine ratio is Sine(angle) = opposite side / hypotenuse side. This is written in 'short-hand' as Sin(angle) = o / h Similarly the cosine ratio is Cosine(angle) = adjacent side / hypotenuse side. Cos(angle) = a/h Similarly the tangent ratio is Tangent(angle) = opposite side /adjacent side. Tan(angle) = o/a NB THe sides refer to the sides of a right-angled triangle. NNB The angle referred to is NOT the right angle, but a selected angle from the other two angles.