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受欢迎的三角函数 >

solvefor x,sec(x)-sin(50o)=2

解答

求解

x, sec (x) - sin (50 o) = 2

解答

x = arcsec (2 + sin (50 o)) + 2 πn, x = - arcsec (2 + sin (50 o)) + 2 πn

求解步骤

sec (x) - sin (50 o) = 2

将

sin (50 o)

到右边

sec (x) - sin (50 o) = 2

两边加上

sin (50 o)

sec (x) - sin (50 o) + sin (50 o) = 2 + sin (50 o)

化简

sec (x) = 2 + sin (50 o)

sec (x) = 2 + sin (50 o)

使用反三角函数性质

sec (x) = 2 + sin (50 o)

sec (x) = 2 + sin (50 o)

的通解

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

x = arcsec (2 + sin (50 o)) + 2 πn, x = - arcsec (2 + sin (50 o)) + 2 πn

x = arcsec (2 + sin (50 o)) + 2 πn, x = - arcsec (2 + sin (50 o)) + 2 πn

作图

流行的例子

2sin^2(x)-2cos^2(x)=0

2 sin^{2} (x) - 2 cos^{2} (x) = 0

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

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

solvefor x,cos^2(x)+cos^2(y)cos^2(z)=1

so l v e f or x, cos^{2} (x) + cos^{2} (y) cos^{2} (z) = 1

cos(5x)+cos(x)=0

cos (5 x) + cos (x) = 0

solvefor x,f=cos^2(x)

so l v e f or x, f = cos^{2} (x)