Answer:
1.x = pi/3 or 4pi/3
2. x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer
Step-by-step explanation:
1. sqrt(3) tan x = 3
Divide each side by sqrt(3)
sqrt(3)/sqrt(3) tan x = 3/sqrt(3)
tan x = sqrt(3) * sqrt(3)/sqrt(3)
tan x = sqrt(3)
Take the inverse of each side
arctan (tanx) = arctan (sqrt(3))
x = arctan (sqrt(3))
x =pi/3 or - 2pi/3
Since the domain is between 0 and 2pi, add 2pi to - 2pi/3 since the trig functions are circular
x = pi/3 or -2pi/3 + 6pi/3
x = pi/3 or 4pi/3
2. 3 tan x = -sqrt(3)
Divide each side by 3
3/3 tan x = -sqrt(3)/3
tan x = -sqrt(3)/3
Take the arctan of each side
arctan (tan x) = arctan ( -sqrt(3)/3)
x = arctan ( -sqrt(3)/3)
x =-pi/6 or 5pi/6
We want all values for x so add 2pi*n to each value where n is an integer
x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer
<h2>Given↷</h2>
- Amount paid per hour ⇢$18.65
- Working hour in 2 weeks⇢80
<h2>To find ↷</h2>
<h2>Answer</h2>
<h2>Solution ↷</h2>
To find the straight time pay for two weeks,
we'll multiply the amount per hour to the number of working hours
hence,
- Straight time pay ⇢$18.65 x 80
- Straight time pay⇢$ 1,492
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The Straight time pay of one week would be ,
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Straight time pay of a month would be,
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5x-7
If the first side is just x, then the second side must be 2x-5, or 5 less than twice the first. If this is the second side, then the third must be 2x-2, because the third side "measures 3 more than the second side."
The perimeter is 5x-7 = (x) + (2x-5) + (2x-2).
<span>No simple interest, only compound interest.</span>
