Can someone ? ?
in right ∆lmn, sin m = 0.759. what is cos n?
a) 0.121
b) 0.241
c) 0.349
d) 0.651
e) 0.759

Answer

E) 0.759

Explanation

sin = opposite /hypotenuse

cos =  adjacent / hypotenuse

M + N = 90°

sin(M) = cos(90 - M)

90° - M = N

∴ sin M = Cos N

 cos N = 0.759

Option E). 0.759

Step-by-step explanation:

In the given right angle triangle LMN, sin M = 0.759.

We have to find the value of cos N.

Since sum of all angles of a triangle = 180°

Therefore ∠L + ∠M + ∠N = 180°

Since ∠L = 90°

Therefore ∠M + ∠N = 90°

Or N = 90 - M

Now by taking cosine on both the sides.

Now cos N = cos (90 - M)

cos M = sin M [ As we know cos (90 -M) = sin M ]

cos M = 0.759

Therefore option E). 0.759 is the answer.