How could you explain the sine and cosine relationships to someone who doesn't know about the unit circle? What visuals could yo
u use to help explain the idea of how these two measures are related?
1 answer:
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.
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Answer:
y = 2x + 20
Step-by-step explanation:
Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.
If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint .
We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is .