On the unit circle, where 0 less-than pi, when is tangent theta undefined? Theta = pi and Theta = 2 pi

sine theta = cosine theta

Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction

sin theta = StartFraction 1 Over cosine theta EndFraction

Step-by-step explanation:

Recall that on the unit circle, each point is represented as where . In this case, we are asked to take a loot at the interval .

We will use the definition of tangent to solve the problem. REcall that

So, in this case, tangent is undefined whenever the denominator is zero. That is, when . Checking the unit circle with the interval , this restriction corresponds to the upper half of the unit circle. In this case, the x component of each point is cosine. We are interested at the points where .

. This happens only at the point (0,1), which is associated with the value of

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

x + 4/7

step-by-step explanation:

use cymath