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Norma-Jean [14]
3 years ago
5

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

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer: Sin N = \frac{4}{5}

Step-by-step explanation:

Since we have given that

In triangle MPN, ∠P=90°

\cos N=\frac{3}{5}

As we know the formula for "Trigonometric Ratios":

\cos N=\frac{Base}{Hypotenuse}=\frac{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=\sqrt{16}\\\\P=4\ units

So, we get,

\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}

Hence, Sin N = \frac{4}{5}

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