sin(x)= 2/(sqrt(3))

解答

sin (x) = \frac{2}{3}

x \in R 无解

求解步骤

sin (x) = \frac{2}{3}

化简

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

乘以共轭根式

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

sin (x) = \frac{2 3}{3}

- 1 \leq sin (x) \leq 1

x \in R 无解

sin (x) + cos (x) = 1

2 sin^{2} (x) - sin (x) - 1 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

tan (x) = cot (2 5^{\circ})

3 csc^{2} (5 x) = 4

3 sin^{2} (θ) + 2 cos (2 θ) = 1, 0 \leq θ \leq 2 π