Question

4sin 330° + 2ctg405-?​

Answer 1

Ответ:

1)4sin(270+60)+2ctg(450-45) = 4sin(90+60)+2ctg(90-45) = 2tg45-4cos60 = 2*1+4*1/2 = 4

Пошаговое объяснение:

Answer 2

Let's break down the expression step by step:

1. $4\sin 330°$: The sine function is negative in the third quadrant (where 330 degrees lies). The sine of 30 degrees is $0.5$, so the sine of 330 degrees will also be $-0.5$. $4 \times (-0.5) = -2$.

2. $2\cot 405°$: The cotangent function is the reciprocal of the tangent function. The tangent of 45 degrees is $1$, so the cotangent of 45 degrees will also be $1$. $2 \times 1 = 2$.

Putting it all together:

$4\sin 330° + 2\cot 405° = -2 + 2 = 0$.

So, the result of the expression is $0$.