Asked by Tammi
Hi! If someone can help me with these, that would be great! Thanks!
Directions: Solve each equation.
1.) 2cosx+sqrt2=0
Location on Unit Circle:
Period:
General Solution:
2.) 3cot^2x-1=0
Location on Unit Circle:
Period:
General Solution:
Directions: Solve each equation.
1.) 2cosx+sqrt2=0
Location on Unit Circle:
Period:
General Solution:
2.) 3cot^2x-1=0
Location on Unit Circle:
Period:
General Solution:
Answers
Answered by
Steve
I'll do one, and you follow the steps for the other.
2cosx + √2 = 0
cosx = -√2/2 = -1/√2
x = π/4
on the unit circle, x = cosθ and y = sinθ, so the location is (-1/√2,1/√2) or (-1/√2,-1/√2) (QII or QIII)
as usual, cosx has period 2π
x = (2k+1)π ± π/4
2cosx + √2 = 0
cosx = -√2/2 = -1/√2
x = π/4
on the unit circle, x = cosθ and y = sinθ, so the location is (-1/√2,1/√2) or (-1/√2,-1/√2) (QII or QIII)
as usual, cosx has period 2π
x = (2k+1)π ± π/4
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