The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As per the given figure, the ratio of the p\r can be written as shown below,
In terms of angle x,
tan(x°) = p units / r units
tan(x°) = p/r
In terms of angle y,
tan(y°) = r / p
1 / tan(y°) = r/p
sec(y°) = r/p
Hence, the ratio of p and r can be written as tan(x°) and sec(y°).
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