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How do you find the value of #sin ((7(pi)) / 2)# using the graph?

Answer 1

James Adkins

#sin ((7pi)/2)=-1#

Let #y=sin x#

graph{y=sin x [-2, 12, -6, 6] }

Check the value of #y# at #x=(7pi)/2=10.9956# and #y=-1#. From the graph, when #x=(7pi)/2=10.9956# and #y=-1#.

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Answer 2

Anna Andrews

To find the value of sin((7π)/2) using the graph, you would locate the angle (7π)/2 on the unit circle. Since sin(π/2) = 1 and sin(3π/2) = -1, and sine function is periodic with a period of 2π, sin((7π)/2) is equal to sin(π/2), which is 1.

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Answer from HIX Tutor

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.