School and Work

for the harmonic motion of the trigonometric function, find a) maximum displacement, b.) the frequency and c.) the least positive value of t for which d=0

1.) d = 1/2 cos20pi t

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sin(x)+sqrt(3)cos(x)=1

My answer is wrong, and I don't know why. Can anyone help me solve this ?

We want to solve in [0,2pi[

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Home >All Categories > Science & Mathematics >Mathematics >Open Question Brodt Member since:December 26, 2010Total points:227 (Level 1)I need to create a trigonometric word problem that contains uses the following: Right Triangle Trig, the Trig Area Formula, the Law of Sines, and the Law of Cosines. Please help. A website that would have something like this would be nice, or if you have something off the top of your head, that would be just as good. Thanks.Answer Question

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well when you take the inverse of any function, the domain and range switch. For trigonometric functions, however, the inverse would not be a function because it would not pass the "vertical line test", therefore you have to restrict the domain.

for example:
sin(x)
D: pi/2 to -pi/2
R: 1 to -1
arcsin(x) [another way of saying sin^-1(x)]
D: 1 to -1
R: pi/2 to -pi/2

now say you want to find the arcsin(1/2)
looking at the unit circle, we know that the sine function is = to (1/2) at the angle pi/6 (radians)
so the arcsin(1/2) = pi/6 (radians)

so the arcsin(3/5) = 4/5

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http://s303.photobucket.com/albums/nn148/imsoshyx3/?action=view¤t=graph.png

I know it's cosine but i'm not sure about the vertical translation, amplitude, or phase shift. Is the vertical translation down 1 and the amplitude 2?

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