cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
You would need to leave the dentist at 2:40.
Answer:
3
Step-by-step explanation:
Given that the total area of the four small squares is 256 ft2, the first thing we are going to do is to divide 256 by 4 and we get 64. So the area of each small square is 64. Now, to find the side length of each small square, we just have to square 64, and the answer is 8. Therefore, the side length of each small square is 8feet. Hope this helps.
Tax she will pay would be $2.04
