Question

In triangle MPN, angle P is a right angle. If cos N= 3/5 which of the following statements is true

SinM= 5/3
Sing M= 5/4
SinM= 4/5
SinN= 3/5

Answer 1

sinM=3/5

Explanation:

Answer 2

Answer: Sin N =
`(4)/(5)`

Explanation:

Since we have given that

In triangle MPN, ∠P=90°

`\cos N=(3)/(5)`

As we know the formula for "Trigonometric Ratios":

`\cos N=(Base)/(Hypotenuse)=(3)/(5)`

By Pythagorus theorem , we get

`H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=√(16)\\\\P=4\ units`

So, we get,

`\sin N=(Perpendicular)/(Hypotenuse)=(4)/(5)`

Hence, Sin N =
`(4)/(5)`