The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\)
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 the 90° angle.
The value of tan is always the ratio of sin and cos. Therefore, we can write,
tan(x) = sin(x) / cos(x)
sin(x) = tan(x) · cos(x)
Now if the value of tan(x) and cos(x) is substituted in the above equation,
sin(x) = z/10 · 10/y
sin(x) = z/y
Hence, the correct option is A.
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