Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
6035 =
6000 + 30 + 5
So I would say 3's value is tenths.
Answer: Angle A= 135 degrees and Angle B= 45 degrees
Step-by-step explanation:
Supplementary means two angles added together to make 180.
Angle A= 3x and Angle B= x
So 3x +x =180
4x=180 divide both sides by 4
x =45
So Angle A = 3 times 45 =135 degrees
Angle B= the value of x which is 45 degrees
Answer:
Exponential
Step-by-step explanation:
This equation represents an exponential function because it will have exponential growth. The equation has a variable as an exponent which causes exponential growth. If it were linear there would be constant growth and a common difference.