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受欢迎的三角函数 >

(sin(90))/(3.37)=(sin(x))/(0.7)

解答

\frac{sin ( 9 0 ^{\circ} )}{3.37} = \frac{sin ( x )}{0.7}

解答

x = 0.20923 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.20923 \dots + 36 0^{\circ} n

+1

弧度

x = 0.20923 \dots + 2 πn, x = π - 0.20923 \dots + 2 πn

求解步骤

\frac{sin ( 9 0 ^{\circ} )}{3.37} = \frac{sin ( x )}{0.7}

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

使用以下普通恒等式:

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1

\frac{1}{3.37} = \frac{sin ( x )}{0.7}

交换两边

\frac{sin ( x )}{0.7} = \frac{1}{3.37}

在两边乘以

0.7

\frac{sin ( x )}{0.7} = \frac{1}{3.37}

在两边乘以

0.7

\frac{0.7 sin ( x )}{0.7} = \frac{1 \cdot 0.7}{3.37}

化简

\frac{0.7 sin ( x )}{0.7} = \frac{1 \cdot 0.7}{3.37}

化简

\frac{0.7 sin ( x )}{0.7} : sin (x)

\frac{0.7 sin ( x )}{0.7}

约分:

0.7

= sin (x)

化简

\frac{1 \cdot 0.7}{3.37} : 0.20771 \dots

\frac{1 \cdot 0.7}{3.37}

数字相乘:

1 \cdot 0.7 = 0.7

= \frac{0.7}{3.37}

数字相除:

\frac{0.7}{3.37} = 0.20771 \dots

= 0.20771 \dots

sin (x) = 0.20771 \dots

sin (x) = 0.20771 \dots

sin (x) = 0.20771 \dots

使用反三角函数性质

sin (x) = 0.20771 \dots

sin (x) = 0.20771 \dots

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (0.20771 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.20771 \dots) + 36 0^{\circ} n

x = arcsin (0.20771 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.20771 \dots) + 36 0^{\circ} n

以小数形式表示解

x = 0.20923 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.20923 \dots + 36 0^{\circ} n

作图

流行的例子

cos(x)=sqrt((1-cos(x))/2)

cos (x) = \frac{1 - cos ( x )}{2}

7 cos (4 x) = 6

-120=-90-arctan(0.1)+arctan(0.1x)

- 120 = - 90 - arctan (0.1) + arctan (0.1 x)

3 tan (x) = 0

2sin^2(x)-15sin(x)+7=0

2 sin^{2} (x) - 15 sin (x) + 7 = 0