Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or
, and cotangent is the reciprocal of this, meaning that it is "x/y" or
.
That means that we are now given this equation.

That'll multiply to:

We'll want a common denominator to add by multiplying
to both top and bottom of the second term:


Pythagorean Identity states that
, so substitute that in:

Which simplifies to:

Hope this helps!
Answer:
3 out of 51
Step-by-step explanation:
If he removed one number two card from the deck then there should be three left since there are 4 of each number card in a deck so therefore there should be 51 cards in the deck but only three number two cards left in the deck
Answer:
He would need
cups of salt.
Step-by-step explanation:
We are given that,
The recipe requires
cups of flour and
teaspoons of salr.
As Nick wants to make the recipe using 1 cup.
Let the amount of salt needed = x
The ratio of the flour and salt will be same.
So, we have,

i.e. 
i.e. 
i.e. 
Thus, he would need
cups of salt if 1 cup of flour is used.
The lateral surface area is the surface area of the sides of any three dimensional figure. Each figure may have a different base, but the lateral surface area is found the same way. Find the perimeter of the base and then multiply it by the height for any three-dimensional prism.
Answer:
B
Step-by-step explanation: