Question

Sin 160-sin 100+cos50Помогите пожалуйста ​

Answer 1

sin160-sin 100=-cos50

2*sin(160-100)2*cos

(160+100):2=-cos50

2*sin30*cos130=-cos50

2*1:2*cos(180-130)=-cos50

-cos50=-cos50

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Answer 2

Английский перевод:
Sin 160-sin 100+cos50

Using trigonometric identities, we can simplify this expression.

First, we can rewrite sin 160 as sin (180 - 20), since sine is an odd function and sin (-x) = -sin (x).

sin (180 - 20) = sin 20

Next, we can rewrite sin 100 as sin (80 + 20), using the angle sum formula for sine.

sin (80 + 20) = sin 80 cos 20 + cos 80 sin 20

Finally, we can leave cos 50 as it is.

Putting it all together:

sin 160 - sin 100 + cos 50

= sin 20 - (sin 80 cos 20 + cos 80 sin 20) + cos 50

= sin 20 - cos 80 sin 20 - sin 80 cos 20 + cos 50

= sin 20 - sin 70 + cos 50

= sin 20 + cos 20 + cos 50

Therefore, the simplified expression is sin 20 + cos 20 + cos 50.