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kvv77 [185]
3 years ago
15

If right triangle LMN, L and M are complementary angles and sin (L) is 19/20 what is cos (M)

Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0
The right answer is 19/20 which is A i hope this helps
zmey [24]3 years ago
4 0

Answer: Value of cos(M) is

\cos M=\frac{19}{20}

Step-by-step explanation:

Since we have given that

LMN is a right angled triangle where L and M are complementary angles ,

And,

\sin L=\frac{19}{20}=\frac{Perpendicular}{Hypotenuse}

so, we will find base now by using "Pythagorus theorem":

H^2=B^2+P^2\\\\20^2=B^2+19^2\\\\400=B^2+361\\\\400-361=B^2\\\\39=B^2\\\\\sqrt{39}=B

As we know that side opposite to mentioned theta is considered as perpendicular as shown in the figure ,

For M as \theta

NL will be its perpendicular and MN will be its base and to find the cos(M) we use Base and Hypotenuse.

So, now we will find cos(M) i.e.

\cos M=\frac{Base}{Hypotenuse}=\frac{19}{20}

Hence,

\cos M=\frac{19}{20}

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