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 
.
Answer:
Rotation 90⁰ clockwise about point (-1,-1)
Answer:
24 ft²
6 × 3 + (½ × 4 × 3)
Step-by-step explanation:
Split shape into a rectangle and triangle;
The rectangle is 6 by 3 ft, the area can be found by multiplying the 2 dimensions:
6 × 3 = 18
The triangle has base 4 ft, the total length of the shape (10 ft) take the 6 ft that is part of the rectangle;
The height is 3 ft;
The area us found by ½ × base × height:
½ × 4 × 3 = 6
Add this together to get the total area.
Answer:
(B) 10
Step-by-step explanation:
Rate of change is basically slope
So the slope here is 10/1 so the rate of change is 10
