Question

1) tg45° - cos60°2) √2sin 45° + √3 cos 30°​

Answer 1

Ответ 1) 0,5 2) 2,5

Объяснение:

Answer 2

Let's simplify each expression:

1. $\tan(45^\circ) - \cos(60^\circ)$:

First, let's find the values of $\tan(45^\circ)$ and $\cos(60^\circ)$:

$\tan(45^\circ) = 1$

$\cos(60^\circ) = \frac{1}{2}$

Now, substitute these values into the expression:

$1 - \frac{1}{2} = \frac{1}{2}$

So, $\tan(45^\circ) - \cos(60^\circ)$ simplifies to $\frac{1}{2}$.

2. $\sqrt{2} \sin(45^\circ) + \sqrt{3} \cos(30^\circ)$:

Again, let's find the values of $\sin(45^\circ)$ and $\cos(30^\circ)$:

$\sin(45^\circ) = \frac{\sqrt{2}}{2}$

$\cos(30^\circ) = \frac{\sqrt{3}}{2}$

Now, substitute these values into the expression:

$\sqrt{2} \cdot \frac{\sqrt{2}}{2} + \sqrt{3} \cdot \frac{\sqrt{3}}{2}$

Simplify each term:

$\frac{2}{2} + \frac{3}{2} = \frac{5}{2}$

So, $\sqrt{2} \sin(45^\circ) + \sqrt{3} \cos(30^\circ)$ simplifies to $\frac{5}{2}$.