Question
Asked Jun 6, 2019
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Fill in the blanks so that the resulting statement is true.
The point P on the unit circle that corresponds to t has coordinates
Thus, sin
4
=
4
2 2
and tan
COS
4
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Fill in the blanks so that the resulting statement is true. The point P on the unit circle that corresponds to t has coordinates Thus, sin 4 = 4 2 2 and tan COS 4

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Step 1

We know that  any point on the circle of radius r corresponds to t is ( rcost, rsint). Here r=1. Therefore, any point on unit circle corresponds t is (cost, sint), Substituting t=1 and comparing with the given point , we get required value of sine and cosine.

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(rcost,rsint 2 2 r 1,t 4 cos-,sin 2 2 4 4 cos 4 2 sin 4 2

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Step 2

Now, by dividing the value of sine by the value of cosi...

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sin 4 2 1 tan V2 4 cos- 4 2

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Tagged in
MathTrigonometry

Trigonometric Ratios