I would convert -2pi / 3 to degrees first by multiplying by 180degrees / pi. It equals 120 degrees.
120 degrees is in quadrant II, which is 90 degrees plus 30 degrees. It is 60 degrees from the 180 degrees.
So the reference triangle you use is 60 degrees.
Cos60 = 0.5
sin60 = sqrt(3) /2
But in quadrant II the only trig ratio that's positive is sin; all others are negative.
So cos120 = -0.5
sin60 = sqrt(3) /2
<span>Keeping in mind that points on unit circle are (cos, sin), the point is </span>(-0.5, <span>sqrt(3) /2).
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Answer:
C
Step-by-step explanation:
to get to 18 from 15, you add three.
You keep adding three to every number for the y values since it it a linear function. The x values went up by 1 and the y values went up by 3.
The answers are
1. B
2. B
3. C
Answer:
Alvin invested $110 at rate of 7% and invested $870 at rate of 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem
Let
x------> the amount of money invested at rate of 5%
At rate of 7%
we have
At rate of 5%
we have
substitute in the formula
therefore
Alvin invested ($870-$760)=$110 at rate of 7%
Alvin invested $870 at rate of 5%
130-54=76
You just need to know when there is +- you just subtract the numbers with the charge of the largest number