<span>Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).</span>
Answer: 
<u>Step-by-step explanation:</u>
Ben has 57, 15 new, 9 favorite, 2 are new and favorite. so take 2 away from both and you get a total of 20 toys that are either new, or favorite so he has 37 remaining
D. 150 should be your answer.
Answer:
6
Step-by-step explanation:
By inscribed angle theorem
![(15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6](https://tex.z-dn.net/?f=%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-%2891%2B135%29%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-226%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B134%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%2067%5Cdegree%5C%5C15x-23%20%3D%2067%5C%5C15x%20%3D%2067%2B23%5C%5C15x%20%3D%2090%5C%5Cx%3D%20%5Cfrac%7B90%7D%7B15%7D%5C%5Cx%3D6)
