Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,
![\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2} \\\\\\ sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1} \\\\\\ sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)](https://tex.z-dn.net/?f=%5Cbf%202sin%5E2%282x%29%3D2%5Cimplies%20sin%5E2%282x%29%3D%5Ccfrac%7B2%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%5E2%282x%29%3D1%5Cimplies%20%5Bsin%282x%29%5D%5E2%3D1%5Cimplies%20sin%282x%29%3D%5Cpm%5Csqrt%7B1%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%282x%29%3D%5Cpm%201%5Cimplies%20sin%5E%7B-1%7D%5Bsin%282x%29%5D%3Dsin%5E%7B-1%7D%28%5Cpm%201%29)
Colin put some buttons on a table. There were 4 blue buttons, 5 red buttons, 7 tan buttons, and 8 white buttons. Colin's cat jum
2 answers:
To find a probability of an event occurring, we need to find how many outcomes are successful. Then divide that number over the total number of outcomes.
In this case, we have the cat knocking 1 button onto floor. We want that button to be blue. Because we have 4 blue buttons, we have 4 different scenarios/outcomes that are successful.
Total number of outcomes is the cat knocking any button onto the floor. Which is [/tex] 4+5+7+8=24[/tex].
When we divide the two:
is the probability of cat knocking a blue button onto the floor.
In this case, we have the cat knocking 1 button onto floor. We want that button to be blue. Because we have 4 blue buttons, we have 4 different scenarios/outcomes that are successful.
Total number of outcomes is the cat knocking any button onto the floor. Which is [/tex] 4+5+7+8=24[/tex].
When we divide the two:
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