Question

Sin x + cos x * tg x

Answer 1

Ответ:

$sinx+cosx\cdot tgx=sinx+cosx\cdot \dfrac{sinx}{cosx}=sinx+sinx=2\, sinx$

Answer 2

To simplify the expression sin(x) + cos(x) * tan(x), you can use trigonometric identities. Here's how you can do it:

sin(x) + cos(x) * tan(x)

First, let's express tan(x) in terms of sin(x) and cos(x) using the identity tan(x) = sin(x) / cos(x):

sin(x) + cos(x) * (sin(x) / cos(x))

Now, cancel out the common factor of cos(x) in the second term:

sin(x) + sin(x)

Now, you have two terms with sin(x), so you can combine them:

2 * sin(x)

So, the simplified expression is:

2 * sin(x)