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受欢迎的三角函数 >

cos(θ)=((sin(60))/(1.28))

解答

cos (θ) = (\frac{sin ( 6 0 ^{\circ} )}{1.28})

解答

θ = 0.82768 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 0.82768 \dots + 36 0^{\circ} n

+1

弧度

θ = 0.82768 \dots + 2 πn, θ = 2 π - 0.82768 \dots + 2 πn

求解步骤

cos (θ) = (\frac{sin ( 6 0 ^{\circ} )}{1.28})

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\circ})

使用以下普通恒等式:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 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}

= \frac{3}{2}

= \frac{3}{2}

cos (θ) = \frac{\frac{3}{2}}{1.28}

化简

\frac{\frac{3}{2}}{1.28} : \frac{3}{2.56}

\frac{\frac{3}{2}}{1.28}

使用分式法则:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{3}{2 \cdot 1.28}

数字相乘:

2 \cdot 1.28 = 2.56

= \frac{3}{2.56}

使用反三角函数性质

cos (θ) = \frac{3}{2.56}

cos (θ) = \frac{3}{2.56}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

θ = arccos (\frac{3}{2.56}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{3}{2.56}) + 36 0^{\circ} n

θ = arccos (\frac{3}{2.56}) + 36 0^{\circ} n, θ = 36 0^{\circ} - arccos (\frac{3}{2.56}) + 36 0^{\circ} n

以小数形式表示解

θ = 0.82768 \dots + 36 0^{\circ} n, θ = 36 0^{\circ} - 0.82768 \dots + 36 0^{\circ} n

作图

流行的例子

4cos^2(x)-3cos(x)-1=0

4 cos^{2} (x) - 3 cos (x) - 1 = 0

cos(2x)=3-5sin(x)

cos (2 x) = 3 - 5 sin (x)

tan (x) = \frac{4}{7}

sin (x) = - \frac{8}{9}

cos^{2} (x) = \frac{1}{9}