The third story, to get area you have to multiply length times width
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)
Just multiply w*l*h
1.89m cubed
-6+ -6- -2
Adding a negative is the same as subtracting a positive.
-6 - 6 - -2
Subtracting a negative is the same as adding a positive.
-6 - 6 + 2
Subtracting a number from a negative number is like adding the positive numbers, just remember to put the negative sign in front of the number.
-12 + 2
Adding a positive number to a negative number is like subtracting a positive from another positive, but don't forget the negative sign when you're done.
-12 +2 = -10
