# What can you say about the graph of y=sin(t) at these values of ?

See the graph, for the t-intercepts,

combined graph with t-intercepts for y = tan t and the wavy y = sin t

graph{x-pi+0y)(x+pi+0y)(x-2pi+0y)(x+2pi+0y)=0}

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The graph of ( y = \sin(t) ) represents a sine function, which is a periodic function that oscillates between -1 and 1. As ( t ) varies, the graph of ( y = \sin(t) ) repeats its pattern indefinitely. At ( t = 0 ), the value of ( \sin(t) ) is 0. As ( t ) increases, ( \sin(t) ) increases to a maximum value of 1 at ( t = \frac{\pi}{2} ), then decreases back to 0 at ( t = \pi ), continues to decrease to a minimum value of -1 at ( t = \frac{3\pi}{2} ), and returns to 0 at ( t = 2\pi ). This pattern repeats for all integer multiples of ( 2\pi ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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