Question

2cos^2 60°-sin^2 30+ sin60°ctg60°

Answer 1

Ответ:

Вот ответ думаю что правильно

Answer 2

Let's break down the expression step by step:

1. Recall the trigonometric identities:

• $\cos(60^\circ) = \frac{1}{2}$
• $\sin(60^\circ) = \frac{\sqrt{3}}{2}$
• $\sin(30^\circ) = \frac{1}{2}$
• $\cot(60^\circ) = \frac{1}{\tan(60^\circ)} = \frac{1}{\sqrt{3}}$

2. Substituting these values into the expression: $2 \cos^2(60^\circ) - \sin^2(30^\circ) + \sin(60^\circ) \cot(60^\circ)$ $= 2 \left(\frac{1}{2}\right)^2 - \left(\frac{1}{2}\right)^2 + \frac{\sqrt{3}}{2} \cdot \frac{1}{\sqrt{3}}$ $= 1 - \frac{1}{4} + \frac{1}{2}$ $= \frac{3}{4} + \frac{1}{2}$ $= \frac{5}{4}$

So, the value of the expression is $\frac{5}{4}$.