Question

6cos60-2ctg45°*sin45°* - умножить ° - градусы​

Answer 1

Ответ:

$6cos60^{\circ} - 2ctg45^{\circ} \cdot sin45^{\circ} = 3 - \sqrt{2}$

Объяснение:

$cos60^{\circ} = \frac{1}{2}$

$ctg45^{\circ} = 1$

$sin45^{\circ} = \frac{\sqrt{2}}{2}$

$6cos60^{\circ} = 3$

$2ctg45^{\circ} \cdot sin45^{\circ} = 2 \cdot\frac{\sqrt{2}}{2} = \sqrt{2}$

Answer 2

To simplify the expression, let's start by converting the trigonometric functions to their numerical values:

• cos(60°) = 0.5
• ctg(45°) = 1 (ctg(θ) is the reciprocal of tan(θ), and tan(45°) = 1)
• sin(45°) = 0.7071 (approximately)

Now, let's plug these values into the expression and perform the calculations:

6 * cos(60°) - 2 * ctg(45°) * sin(45°)

= 6 * 0.5 - 2 * 1 * 0.7071

= 3 - 2 * 0.7071

= 3 - 1.4142

= 1.5858

So, the simplified value of the expression is approximately 1.5858.