Answers:
- cos(A) = 5/13
- tan(A) = 12/5
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Explanation:
Recall that
- x = cos(theta)
- y = sin(theta)
when dealing with the unit circle.
The x coordinate of the point shown is x = 5/13, which tells us that cos(A) = 5/13.
We can also see that y = 12/13 which leads to sin(A) = 12/13.
Divide sine over cosine to get tangent
tan(A) = sin(A)/cos(A)
tan(A) = sin(A) ÷ cos(A)
tan(A) = (12/13) ÷ (5/13)
tan(A) = (12/13) * (13/5)
tan(A) = 12/5
In the last step, the '13's cancel out.
