Question

What can you infer about triangle MNP if `cos M = 3/5` and `sin N = 3/5`?

Answer 1

`DeltaMNP` is a right angled.

Explanation:

As `sin(90-A)=cosA`, it means that if sine and cosine ratios of two angles are equal, they add up to `90^@` i.e, they are supplementary.

Hence as `cosM=sinM=3/5`, we have `m/_M+m/_N=90^@`

and as sum of angles of a triangle is `180^@`

`m/_P=180^@-90^@-90^@`

Hence, `DeltaMNP` is a right angled.