Tan x /(1 +sec x) + (1+sec x) /tan x
Tan x=sin x / cos x
1+ sec x=1 +1/cos x=(cos x+1)/cos x
Therefore:
tan x /(1 +sec x) =(sin x/cos x)/(cos x+1)/cos x=
=(sin x * cos x) / [cos x* (cos x+1)]=sin x /(Cos x+1)
(1+sec x) /tan x=[(cos x+1)/cos x] / (sin x/cos x)=
=[cos x(cos x+1)]/(sin x *cos x)=(cos x+1)/sin x
tan x /(1 +sec x) + (1+sec x) /tan x=
=sin x /(Cos x+1) + (cos x+1)/sin x=
=(sin²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
Remember: sin²x+cos²x=1⇒ sin²x=1-cos²x
=(1-cos²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
=2 cos x+2 / [sin x(cos x+1)]=
=2(cos x+1) / [sin x(cos x+1)]=
=2 /sin x
Answer : tan x /(1 +sec x) + (1+sec x) /tan x= 2/sin x
Answer:
Step-by-step explanation:
Option A
9.21 * 10³ = 9,210 ≠ 921
Option A is FALSE.
Option B
9.21 * 10¹ = 92.1
Option B is TRUE.
Option C
0.921 * 100 = 92.1 ≠ 921
Option C is FALSE
Option D
0.921 * 10⁴ = 9,210
Option D is TRUE
Option E
0.0921 * 10² = 9.21
Option E is TRUE
Answer: 15/44
Step-by-step explanation:
You have to make the denominators match so:
1/11(4) + 1/4(11)=
4/44 + 11/44=
15/44
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
8/20 of a minute or 2/5 of a minute
