Step-by-step explanation:
(1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Replace tanx with sinx/cosx:
(1-sinx/cosx)/(1+sinx/cosx)
Multiply numerator and denominator by cosx:
(cosx-sinx)/(cosx+sinx)
Multiply numerator and denominator by cosx-sinx:
(cos^2x-2sinxcosx+sin^2x)/(cos^2x-sin^2x)
For the numerator, since sin2x = 2sinxcosx, and sin^2x + cos^2x = 1, we have 1-sin2x
For the denominator, cos^2x - sin^2x = cos2x
So (1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Answer:
A
Step-by-step explanation:
I = Prt = r * Pt
divide Pt from both side we get
I/(Pt) = r
Notice the picture below
then, the diameter made by the orbiting lunar station is 32 + 2548 + 32
or 2612, that means the radius is half that, or 1306, that means one orbit is
circumference of a circle = C = 2π r, r = 1306, thus C = 2π * 1306
Answer:
-9/2
Step-by-step explanation:
-9/2 is -4.5 and hence is greater than -6.35!
Because negative numbers are opposite!(For eg. -1 is greater than -2)
Hope this helps!
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Answer:
a: 425
b: 107
c: read below
Step-by-step explanation:
Assuming ME means Error:
We have:
n = to be determined
ME = 5
σ = 40
α = 0.01
The z-value we will use for α = 0.01 is: 2.575
See attached photo 1 for the calculation of n
For the second situation, it is calculated the same way, we just have E = 10
See second attached photo for the calculation of this value of n...
For part c: The sample size is much smaller for the second situation because we are allowing more error in our estimate, so we can be less accurate. We don't need as large of a sample size if we don't want to be as accurate