1. Which expression is equivalent to 8 - 3?
2 answers:
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Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x = 200,000,000
2 x = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
=
2 ÷ 2 = 1
Now solve:
1 x = 1,000,000