Trignometric functions are the ratio of the sides of the triangle. The correct option from the following is cot(theta)= cos(theta)/sin(theta).
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle. There are six basic trigonometric functions,
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta= \dfrac{Sin \theta}{Cos \theta} =\dfrac{Perpendicular}{Base} \\\\\\Cosec \theta=\dfrac{1}{Sin\theta}=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta= \dfrac{1}{Cos\theta} = \dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{1}{Tan\theta}= \dfrac{Base}{Perpendicular}\\\\\\[/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 we know about the basic trigonometric functions, therefore, the options that is correct from the following option is cot(theta)= cos(theta)/sin(theta).
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