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受欢迎的三角函数 >

2sec(θ)=6

解答

2 sec (θ) = 6

解答

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

+1

度数

θ = 70.52877 \dots^{\circ} + 36 0^{\circ} n, θ = 289.47122 \dots^{\circ} + 36 0^{\circ} n

求解步骤

2 sec (θ) = 6

两边除以

2

2 sec (θ) = 6

两边除以

2

\frac{2 sec ( θ )}{2} = \frac{6}{2}

化简

sec (θ) = 3

sec (θ) = 3

使用反三角函数性质

sec (θ) = 3

sec (θ) = 3

的通解

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

θ = arcsec (3) + 2 πn, θ = 2 π - arcsec (3) + 2 πn

θ = arcsec (3) + 2 πn, θ = 2 π - arcsec (3) + 2 πn

以小数形式表示解

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

作图

流行的例子

sin(2x+20)-1=(-1)/2

sin (2 x + 20) - 1 = \frac{- 1}{2}

solvefor x,sin(x+pi/2)-cos^2(x)=0

so l v e f or x, sin (x + \frac{π}{2}) - cos^{2} (x) = 0

0 = 4 + 3 cos (θ)

cos (θ) = \frac{6}{8}

solvefor x,4cos(x)*sin(y)=1

so l v e f or x, 4 cos (x) \cdot sin (y) = 1