Question

In right traingle LMN, L and M are complementary angles and sin(L) 19/20 is . What is cos(M)?

Answer 1

Cos(M) is 19/20  because sin and cos are always the same answer

Answer 2

Answer:

$\text{cos}(M)=\frac{19}{20}$

Step-by-step explanation:

Please find the attachment.  

We have been given that in right triangle LMN, L and M are complementary angles and $\text{sin}(L)=\frac{19}{20}$. We are asked to find the $\text{cos}(M)$.

We know that sine relates opposite side of right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

We also know that cosine relates adjacent side of right triangle to hypotenuse.

$\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

We can see from the attachment that LM is hypotenuse and MN is adjacent side of our given triangle.

$\text{cos}(M)=\frac{19}{20}$

Therefore, $\text{cos}(M)$ is $\frac{19}{20}$ as well.