What is the general solution for 0.85=(1-sin(x))/(1+sin(x)) ?

The general solution for 0.85=(1-sin(x))/(1+sin(x)) is x=0.08117…+2pin,x=pi-0.08117…+2pin

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0.85=(1-sin(x))/(1+sin(x))

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

x = 0.08117 \dots + 2 πn, x = π - 0.08117 \dots + 2 πn

Solution steps

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

Switch sides

\frac{1 - sin ( x )}{1 + sin ( x )} = 0.85

Solve by substitution

sin (x) = \frac{3}{37}

sin (x) = \frac{3}{37} : x = arcsin (\frac{3}{37}) + 2 πn, x = π - arcsin (\frac{3}{37}) + 2 πn

Combine all the solutions

x = arcsin (\frac{3}{37}) + 2 πn, x = π - arcsin (\frac{3}{37}) + 2 πn

Show solutions in decimal form

x = 0.08117 \dots + 2 πn, x = π - 0.08117 \dots + 2 πn

sin (2 x) - \frac{2}{2} = 0

y, z = x sin (x y)

sin (θ) = 0.12

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

t, y^{11} + 9 y = 18 cos (3 t)

What is the general solution for 0.85=(1-sin(x))/(1+sin(x)) ?
The general solution for 0.85=(1-sin(x))/(1+sin(x)) is x=0.08117…+2pin,x=pi-0.08117…+2pin