The domain of the sine function is [-infinity, +infinity].
The range is [-1, +1].
The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
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It is infinite, in both directions. But it can be restricted to a smaller interval.
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
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.