determine the degree of -3
Theta equals 0 or pi.
You can use your trigonometric functions (sine, cosine, and tangent).
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
Because it tends to infinity. Additionally, tangent can be expressed as sin theta divided by cos theta. The sine of 90 is 1. The cosine of 90 is 0. That would be 1 divided by 0, or division by zero; which is undefined.
We'll answer your question as asked. What was asked was, "What is the sine of the angle (the angle theta) if the angle measures 0.4384?" That's the way the question reads. That's a pretty small angle. Less than one degree. That angle has about 0.00765 as the sine. Perhaps the question was "What is the angle of theta if its sine is 0.4384?" In the event that this was really your question, if sine theta equals 0.4384, arcsine theta is about 23.00 degrees. Here we use the term arcsine. If we see "arcsine 0.4384" in a text, what it means is "the angle whose sine is 0.4384" in math speak.
In the third quadrant, both the x and y coordinates are negative. Since tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle, in the third quadrant where both sides are negative, the tangent of an angle theta will be positive. Therefore, tan theta is not negative in the third quadrant.
trignometroy
sin/cos
You should supply more information.
The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.
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.
If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.
Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).
It is a trigonometric function whose argument is the number theta.
tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.
Negative 1.047197551 etc, etc.
The tangent of an angle theta (tan(theta)) cannot be expressed as a percentage since it is a mathematical function that gives the ratio of the opposite side to the adjacent side in a right triangle. It is a dimensionless quantity and is typically expressed as a decimal or a fraction.