It was complicated but I did it
We have been given that
and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.

This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.

Now we will find adjacent side using Pythagoras theorem as:




Let us take positive square root on both sides:

Therefore, adjacent side of angle A is 5 units.

Therefore, the exact value of cot A is
.
These are the steps needed for this question hope this helps if there is any more questions do feel free to ask them
Given BD and AC is a diameter of the circle:
We need to find the following:
1. measure of the arc BA
So,
the measure of the minor arc BA = 44
The measure of the major arc BA = 360 - 44 = 316
2. the measure of the arc ACB = 360 - 44 = 316
3. The arc BCD is a semicircle of the circle
So, the measure of the arc BCD = 180
Answer:
x = -1/2
Step-by-step explanation:
1-3x = x+3
Add 3x to each side
1-3x+3x = x+3x+3
1 = 4x+3
Subtract 3 from each side
1-3 = 4x+3-3
-2 = 4x
Divide each side by 4
-2/4 = 4x/4
-1/2 =x