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andrezito [222]
3 years ago
14

In this right triangle LMN L and M are complentary angles and sin (L) is 19\20 what is cos (M)

Mathematics
2 answers:
Mkey [24]3 years ago
6 0

Answer:

19/20

Step-by-step explanation:

Zolol [24]3 years ago
5 0
In any right triangle ABC, with right angle A we have the following:

\sin(\angle B)=\cos(\angle C)

and

\sin(\angle C)=\cos(\angle B).


This means that the sine of a non 90° angle, is equal to the cosine of its complementary angle.


Thus, \displaystyle{ \cos(\angle M)=\sin (\angle L)= \frac{19}{20}.


(Take a look at the picture. From the definition of trigonometric ratios in right triangles we have :
\displaystyle { \sin(\angle L)= \frac{opposite \ side}{hypotenuse} = \frac{19}{20}.
and
 \displaystyle { \cos(\angle M)= \frac{adjacent \ side}{hypotenuse} = \frac{19}{20}.)

Answer: 19/20

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