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
Solving the expression
we get 
So, Option A is correct.
Step-by-step explanation:
We need to solve the expression: 
Multiplying and dividing by 2-3i

So, solving the expression
we get 
So, Option A is correct.
Keywords: Complex numbers
Learn more about Complex numbers at:
#learnwithBrainly
If the call cost 35 cents to use the card that leaves $12 that was from minutes. There is 4 quarters in a dollar, 12x4 is 48.
VERIFY:
$1=4
$2=8
$3=12
$4=16
$5=20
$6=24
$7=28
$8=32
$9=36
$10=40
$11=44
$12=48
Answer:
For A its 10 Feet because if each unit is 5 feet and there are 2 units then its 10 feet and then B is 35 because seven units means 5 x 7 then 35feet is the answer
Step-by-step explanation:
The answer for your problem is shown on the picture.