Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Answer:
R, T, S
Step-by-step explanation:
R+S+T=180 degrees
9x-2+4x+36+5x+20=180
18+54x=180
54x=162
x=3
R=9*3-2 (substitute x with 3)
R=25
S=4*3+36
S=48
T=5*3+20
T=35
Shortest to longest: R, T, S
