The value of cos A and tan A which is found out with the help of diagram is 5/13 or 0.385 and 12/5 or 2.4 respectively.
How to find the angle with coordinate points?
To find the angle with coordinate points, and radius, it has to plot a right angle triangle with the points.
In the given figure, the value of x coordinate is 5/13 and the value of y coordinate is 12/13. The radius is 1 units long.
[tex]x=12/13\\y=5/13\\r=1[/tex]
The triangle made with these points, is a right angle triangle, in which radius is hypotenuse, y is base and x length is opposite leg.
In a right angle triangle, cosine is the ratio of base side and hypotenuse, while tangent is the ratio of the opposite side to the base side. Thus,
[tex]\cos A=\dfrac{\dfrac{5}{13}}{1}\\\cos A=\dfrac{5}{13}\\\cos A=0.385[/tex]
The value of tan A is,
[tex]\tan A=\dfrac{\dfrac{12}{13}}{\dfrac{5}{13}}\\\tan A=\dfrac{12}{5}\\\tan A=2.4[/tex]
Thus, the value of cos A and tan A which is found out with the help of diagram is 5/13 or 0.385 and 12/5 or 2.4 respectively.
Learn more about the angle with coordinate points here:
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