Question

3tg(-p/4)+2sin p/4-3 tg0-2 ctg p/4

Answer 1

Ответ:

$\sqrt{2}-5$

Объяснение:

$3tg(-\frac{\pi}{4})+2sin\frac{\pi}{4}-3tg0-2ctg\frac{\pi}{4}$

Зная правило нечётности тангенса $tg(-x)=-tg(x)$ Мы можем упростить выражение:

$-3tg\frac{\pi}{4}+2sin\frac{\pi}{4}-3tg0-2ctg\frac{\pi}{4}$

Вспоминаем, что $tg\frac{\pi}{4}$ это 1, $ctg\frac{\pi}{4}$ тоже 1, $tg0$ будет 0, а $sin\frac{\pi}{4}$ будет $\frac{\sqrt{2}}{2}$.

Тогда упрощая выражение мы получаем:

$-3*1+2*\frac{\sqrt{2}}{2}-3*0-2*1$

$-3+\sqrt{2}-2$

$\sqrt{2}-5$

Ответ: $\sqrt{2}-5$

Answer 2

It seems like you've provided an expression involving trigonometric functions. Let's break it down step by step:

1. 3tg(-p/4): This appears to be 3 times the tangent of the negative angle -π/4.

2. 2sin(p/4): This is 2 times the sine of the angle π/4.

3. -3tg0: This is -3 times the tangent of the angle 0.

4. -2ctg(p/4): This is -2 times the cotangent of the angle π/4.

Now, let's calculate each part:

1. 3tg(-π/4) = 3 * tan(-π/4) = 3 * (-1) = -3

2. 2sin(π/4) = 2 * sin(π/4) = 2 * (1/√2) = √2

3. -3tg(0) = -3 * tan(0) = -3 * 0 = 0

4. -2ctg(π/4) = -2 * cot(π/4) = -2 * 1 = -2

Now, you can add these results together:

-3 + √2 + 0 - 2 = -3 + √2 - 2 ≈ -4.59 (rounded to two decimal places)

So, the value of the expression is approximately -4.59.