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Ivenika [448]
2 years ago
15

The radius of the circle below intersects the unit circle at (3/5,5/5) What is the approximate value of ø?

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0

Answer:

0.93 radians to 2D.P's.

Step-by-step explanation:

sin O = 4/5 / 1 = 0.8

So < O = 0.927 radians .

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Answers:

  • tan(G) = 2
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=======================================

Explanation:

Recall that tangent is the ratio of opposite over adjacent

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

-----------

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A+B = 90 degrees

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Side note: The side sqrt(5) isn't used at all.

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3 years ago
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