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受欢迎的三角函数 >

sec(x)= 7/5

解答

sec (x) = \frac{7}{5}

解答

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

+1

度数

x = 44.41530 \dots^{\circ} + 36 0^{\circ} n, x = 315.58469 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sec (x) = \frac{7}{5}

使用反三角函数性质

sec (x) = \frac{7}{5}

sec (x) = \frac{7}{5}

的通解

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

x = arcsec (\frac{7}{5}) + 2 πn, x = 2 π - arcsec (\frac{7}{5}) + 2 πn

x = arcsec (\frac{7}{5}) + 2 πn, x = 2 π - arcsec (\frac{7}{5}) + 2 πn

以小数形式表示解

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

作图

流行的例子

cos(5θ)=sin(3θ)

cos (5 θ) = sin (3 θ)

(2sin(2x)+2cos(2x))^2=4

(2 sin (2 x) + 2 cos (2 x))^{2} = 4

sin (x) = \frac{7}{3}

0 = sin (4 x)

solvefor x,sin(x)=sin(2x)

so l v e f or x, sin (x) = sin (2 x)