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
Answer:
23.12
Step-by-step explanation:
Jordan has entered 3.4 x 6.8 on his calculator.
3.4 x 6.8 = (34/10) x (68/10) = (34 x 68) / (100) = 23.12
Or an easier way would be, observing the two numbers.
In 3.4 , there is one digit after decimal point.
In 6.8 there is one digit after decimal point.
So in their product there should be two digits after the decimal point.
So the answer is <em>23.12</em>
Answer:
I think it’s D
Step-by-step explanation:
Answer:
It would be 28 degrees.
Step-by-step explanation:
To find the angle, we simply need to pick two sides. We'll use the opposite side (24) and the adjacent side (45). Using these two, we can find the answer with the Tan function.
Tanα = Opp/Adj
Tanα = 24/45
Tanα = .53333
Tan-1α = .53333
α = 28 degrees
Answer:
36
Step-by-step explanation:
25:9
25*4 = 100
9*4 = 36
