Question

What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with right angle m. l m equals 15. l n equals 39. m n equals 36.

Answer 1

The trigonometric ratio will be Cos(n)=12/13

What will be the trigonometry ratio?

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

$Cos(n)=\dfrac{adjacent}{Hypotenuse}$

$Cos(n)=\dfrac{MN}{LN}$

$Cos(n)=\dfrac{36}{39}$

$Cos(n)=\dfrac{12}{13}$

Hence the required ratio will be   $Cos(n)=\dfrac{12}{13}$

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