-5 is the real part and 6i is the imaginary part. This can be determined by looking which number has the "i" attached to it.
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Solutions
1hr = 60 min
180 ÷ 60 = 3
<span>180 min = 3 hrs </span>
Answer:
Write and evaluate the expression. Then, complete the statements.
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Yuna ran three times as many kilometers.
Evaluate when k = 12.2.
First, write the expression as
✔ 3k
.
Second,
✔ substitute
12.2 in for the variable, k.
Third,
✔ simplify
by
✔ multiplying
3 and 12.2.
The answer is
✔ 36.6
