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受欢迎的三角函数 >

5sin(x)=1

解答

5 sin (x) = 1

解答

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

+1

度数

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

求解步骤

5 sin (x) = 1

两边除以

5

5 sin (x) = 1

两边除以

5

\frac{5 sin ( x )}{5} = \frac{1}{5}

化简

sin (x) = \frac{1}{5}

sin (x) = \frac{1}{5}

使用反三角函数性质

sin (x) = \frac{1}{5}

sin (x) = \frac{1}{5}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

以小数形式表示解

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

作图

流行的例子

5 sin (x) = 5

(1+sin(x))(1+sin(x))=cos^2(x)

(1 + sin (x)) (1 + sin (x)) = cos^{2} (x)

cos (θ) = - 0.866

cos(θ)=(2sqrt(5))/(19)

cos (θ) = \frac{2 5}{19}

sqrt(3)csc(θ)+csc(θ)cot(θ)=0

3 csc (θ) + csc (θ) cot (θ) = 0