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.
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
in trigonometry
No, it does not.
Trigonometry
Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.
Sine of the angle to its cosine.
It is a FALSE statement.
For solving the properties of triangles