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

`\text{cos}(M)=(19)/(20)`

Explanation:

Please find the attachment.

We have been given that in right triangle LMN, L and M are complementary angles and
`\text{sin}(L)=(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)=(19)/(20)`

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