Question

√3tg30°-cos60°= Трегонометрия

Answer 1

Ответ:

√3tg30°-cos60° = 0.5. )))

Answer 2

To solve the expression $\sqrt{3}\tan(30^\circ) - \cos(60^\circ)$ using trigonometric identities, let's break it down step by step:

1. Evaluate $\tan(30^\circ)$: $\tan(30^\circ) = \frac{\sin(30^\circ)}{\cos(30^\circ)}$

   Using the values of sine and cosine for $30^\circ$: $\tan(30^\circ) = \frac{1/2}{\sqrt{3}/2} = \frac{1}{\sqrt{3}}$

2. Evaluate $\cos(60^\circ)$: We know that $\cos(60^\circ) = \frac{1}{2}$.

3. Substitute the values: $\sqrt{3}\tan(30^\circ) - \cos(60^\circ) = \sqrt{3} \times \frac{1}{\sqrt{3}} - \frac{1}{2}$

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

So, $\sqrt{3}\tan(30^\circ) - \cos(60^\circ) = \frac{1}{2}$.