Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
Part A
Let x represent the number of coworkers who prefer the talk news radio.
% prefer the talk news radio,
% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.
Part B
We apply ratio to find x.


Hence number that corresponds to 65% will be greater than 28.
If more, less will divide.
This implies that,

Hence 52 of her coworkers prefer the local news talk station.
Answer:
45%
Step-by-step explanation:
Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%