Answer: (sec x – tan x)(csc x + 1).
Step-by-step explanation:
Answer:
On monday,the high temperature in abilene was 75.6 degrees Fahrenheit and the temperature in New york city was 54 degrees Fahrenheit.How many times greater was the high tempareture in Abilene than the high temperature in New York on monday plz show your work
Step-by-step explanation:
the answer is 0.00116451016
hope it helped :)
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer:
The volume of water bottle Francisco takes to school = 1.0048 liters
Step-by-step explanation:
The dimensions of the water bottle are given :
The Height of the water bottle is 20 cm
⇒ h = 20 cm
The Radius of the water bottle is 4 cm
⇒ r = 4 cm
⇒ Volume of the water bottle = π·r²·h
⇒ Volume = 3.14 × 4² × 20
⇒ Volume = 1004.8 cm³
Now, 1000 cm³ = 1 liter
⇒ 1004.8 cm³ = 1.0048 liter
Hence, The volume of water bottle Francisco takes to school = 1.0048 liters