The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Yes, sine, cosine, tangent definitions are based on right triangles
No, it does not.
Trigonometry
It is a FALSE statement.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
Yes, sine, cosine, tangent definitions are based on right triangles
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
in trigonometry
No, it does not.
Trigonometry
Sine of the angle to its cosine.
It is a FALSE statement.
The ratio of sine and cosine.
For solving the properties of triangles
If you know the angle's sine, cosine, or tangent, enter it into the calculator and press <inverse> sine, cosine, or tangent. On MS Calc, in Scientific Mode, using Degrees, enter 0.5, then check Inv and the press sin. You should get 30 degrees. The other functions work similarly.