So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx
Answer:
The real part is 2
The imaginary part is -5
Step-by-step explanation:
A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it
x is the real part of the complex number z i.e Re(z) = x
Imaginary part of the complex number z is y i.e Im(z) = y.
Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i
Given the complex number 2-5i
Comparing 2-5i to x+iy
x= 2 and y = -5
The real part is 2 (value that is not attached to the complex notation)
The imaginary part is 5(value attached to the complex notation)
0.8(1600) = 1280
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Because the distance to both chords are the same (5.70) and both chords are 90 degrees from the 5.70 line, both chords are identical.
Chord AB = 5, so chord CD is also 5.
The slope intercept form is y = mx + b
you need to find the equation that has a slope of 3/4 and passes through (4,1/3)
Plug in the given into the equation
y = 3/4x + b
to solve for the y-intercept, plug in the given coordinate that the line passes through
1/3 = 3/4(4) + b
1/3 = 3 + b
subtract 3 from both sides
-8/3 = b
now back to the slope intercept equation
y = mx + b
plug in the slope and y-intercept
y = 3/4x - 2 2/3
or
y = 3/4x - 8/3
Hope this helps :)
