Найти sin(2x), cos(2x), tan(2x) если 1) tan(x) = -3 2) cat(x) = 2 - id1518597820210203 от morshchininao 03.02.2021 23:05

Question

Алгебра: Найти sin(2x), cos(2x), tan(2x) если 1) tan(x) = -3 2) cat(x) = 2

morshchininao · Accepted Answer

1) =====================================
Нули функции
y=0; 2sin 3x = 0
3x = πk,k ∈ Z
x = πk/3, k ∈ Z
=========================================

2) **********************************************************
$x-4= \sqrt{x+8}$
ОДЗ: $\left \{ {{x-4 \geq 0} \atop {x-8 \geq 0}} \right. \Rightarrow \left \{ {{x \geq 4} \atop {x \geq 8}} \right. \Rightarrow \boxed{x \geq 8}$
Возведем обе части в квадрат
$x+8=(x-4)^2\\ x+8=x^2-8x+16\\ x^2-9x+8=0$
По т. Виета
x_1=1

- не удовлетворяет ОДЗ
x_2=8

ответ: 8.
*****************************************************

3) ========================================
sin(arcsin√2/2)=sin(π/4) = √2/2
=======================================

4)*******************************************************************
$\frac{ \sqrt[6]{256} }{ \sqrt[3]{-2} } =- \sqrt[3]{ \frac{16}{2} } =- \sqrt[3]{8} =-2$
*********************************************************

Найти sin(2x), cos(2x), tan(2x)если1) tan(x) = -32) cat(x) = 2

MOGZ ответил

Найти sin(2x), cos(2x), tan(2x)

если

1) tan(x) = -3

2) cat(x) = 2