8.9-3.3j=-2.2j+2.3
add 3.3j to both sides
8.9=1.1j+2.3
subtract 2.3 from both sides
6.6=1.1j
divide both sides by 1.1
6=j
Answer:
tan2θ = 4√2/7
Step-by-step explanation:
Given sin theta=1/3 and 0 < theta< π/+
Required
tan 2 theta
tan2 theta = 2tanθ/1-tan²θ
Get tan θ
sinθ = opp/hyp
adj = √3²-1²²
adj = √9-1
adj = √8
tanθ = opp/adj = 1/2√2
tan2 theta = 2(1/2√2/1-(1/2√2)²
tan2θ = 1/√2/1-1/8
tan2θ = 1/√2/7/8
tan2θ = 8/7√2
Rationalize
tan2θ = 8√2/14
tan2θ = 4√2/7
A:5
I hope this helps you
Good luck on the rest :)
6/14
Multiply both 3 and 7 by 2, this gives you equivalent fractions (there are more possible equivalent equations of course)
The answer would be 70 degrees.
In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.
Cos(A) = 3.4/10 or Cos(A) = .34
As a result, we can then use the arccos function to find the answer.
acrcos(.34) = A
70.12 = A
Then when we round, we'd get 70.
