HELP! Which of the following is correct based on this picture?

A. tanM=38/63

B. sinM=38/63

C. cosM=38/63

D. none of these are correct

HELP Which of the following is correct based on this picture A tanM3863 B sinM3863 C cosM3863 D none of these are correct class=

Respuesta :

Answer: None is correct..

Step-by-step explanation:

The side that is missing is the adjacent side, therefore you would have to do cosM. But Cosine is adjacent over hypotenuse and that is not an option.

So i think it is D.

Answer:

[tex]cos M = \frac{38}{63}[/tex]

Step-by-step explanation:

In right angled triangle YUM

YU = Perpendicular

UM = Base = 38

YM = Hypotenuse = 63

For ∠M , Base is UM

[tex]Tan M = \frac{perpendicular}{Base}[/tex]

[tex]Tan M = \frac{YU}{UM}[/tex]

[tex]Tan M = \frac{YU}{38}[/tex]

So, Option A is wrong.

[tex]Sin M = \frac{perpendicular}{Hypotenuse}[/tex]

[tex]sin M = \frac{YU}{YM}[/tex]

[tex]sin M = \frac{YU}{63}[/tex]

So, option B is wrong

[tex]Cos M = \frac{Base}{Hypotenuse}[/tex]

[tex]cos M = \frac{UM}{YM}[/tex]

[tex]cos M = \frac{38}{63}[/tex]

So, Option C is correct.