10 Bài tập Giải một số phương trình lượng giác đưa về phương trình lượng giác cơ bản (có lời giải)

$\left[\begin{array}{l}x=\frac{\pi }{6}+k2\pi \\ x=\frac{5\pi }{6}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\pi +k2\pi \\ x=k2\pi \end{array}\right.$, k ∈ ℤ;

$x=k\pi$, k ∈ ℤ;

$x=k2\pi$, k ∈ ℤ.

x = $\frac{\pi }{2}+k2\pi$, k ∈ ℤ;

x = $\frac{\pi }{3}+k2\pi$, k ∈ ℤ;

x = $\frac{\pi }{2}+k\pi$, k ∈ ℤ;

x = $\frac{\pi }{6}+k2\pi$, k ∈ ℤ.

$\frac{\pi }{4}$;

$\frac{\pi }{3}$;

$\frac{\pi }{2}$;

$\frac{\pi }{6}$.

S = $\left\{k2\pi |k\in \mathbb{Z}\right\}$;

S = $\left\{k\pi |k\in \mathbb{Z}\right\}$;

S = $\left\{k\frac{2}{3}\pi ;x=\frac{\pi }{6}+k\frac{2}{3}\pi |k\in \mathbb{Z}\right\}$;

S = $\left\{k2\pi ;x=\frac{\pi }{6}+k2\pi |k\in \mathbb{Z}\right\}$.

$\left[\begin{array}{l}x=\frac{\pi }{4}+k2\pi \\ x=\frac{5\pi }{6}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{2}+k2\pi \\ x=\frac{7\pi }{6}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{3}+k2\pi \\ x=\frac{\pi }{6}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{2}+k\pi \\ x=\frac{7\pi }{6}+k\pi \end{array}\right.$, k ∈ ℤ.

$\frac{\pi }{4}$;

$\frac{\pi }{8}$;

$\frac{\pi }{2}$;

$\frac{\pi }{16}$.

S = $\left\{\frac{\pi }{3}+k\pi ;\frac{\pi }{4}+k\pi |k\in \mathbb{Z}\right\}$;

S = $\left\{\frac{\pi }{6}+k\pi ;\frac{\pi }{4}+k\pi |k\in \mathbb{Z}\right\}$;

S =$\left\{\frac{\pi }{3}+k\pi ;\frac{\pi }{5}+k\pi |k\in \mathbb{Z}\right\}$;

S =$\left\{\frac{5\pi }{6}+k\pi ;\frac{\pi }{4}+k\pi |k\in \mathbb{Z}\right\}$.

$\left[\begin{array}{l}x=-\frac{\pi }{4}+k\pi \\ x=\frac{\pi }{6}+k\pi \\ x=-\frac{\pi }{6}+k\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{4}+k\pi \\ x=\frac{\pi }{6}+k\pi \\ x=-\frac{\pi }{6}+k\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=-\frac{\pi }{4}+k\pi \\ x=\frac{\pi }{6}+k\pi \\ x=\frac{5\pi }{6}+k\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=-\frac{3\pi }{4}+k\pi \\ x=\frac{\pi }{6}+k\pi \\ x=-\frac{\pi }{6}+k\pi \end{array}\right.$, k ∈ ℤ.

$\left[\begin{array}{l}x=\frac{\pi }{4}+k2\pi \\ x=-\frac{\pi }{4}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{4}+k2\pi \\ x=-\frac{\pi }{3}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{6}+k2\pi \\ x=-\frac{\pi }{3}+k2\pi \end{array}\right.$, k ∈ ℤ;

$\left[\begin{array}{l}x=\frac{\pi }{2}+k2\pi \\ x=-\frac{\pi }{2}+k2\pi \end{array}\right.$, k ∈ ℤ.