Question

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

Answer 1

Answer: None is correct..

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 2

`cos M = (38)/(63)`

Explanation:

In right angled triangle YUM

YU = Perpendicular

UM = Base = 38

YM = Hypotenuse = 63

For ∠M , Base is UM

`Tan M = (perpendicular)/(Base)`

`Tan M = (YU)/(UM)`

`Tan M = (YU)/(38)`

So, Option A is wrong.

`Sin M = (perpendicular)/(Hypotenuse)`

`sin M = (YU)/(YM)`

`sin M = (YU)/(63)`

So, option B is wrong

`Cos M = (Base)/(Hypotenuse)`

`cos M = (UM)/(YM)`

`cos M = (38)/(63)`

So, Option C is correct.