solvefor x,f=cos(1/(x^2))

Solution

solve for

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

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}, x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

Solution steps

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

Switch sides

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

Apply trig inverse properties

\frac{1}{x ^{2}} = arccos (f) + 2 πn, \frac{1}{x ^{2}} = - arccos (f) + 2 πn

Solve

\frac{1}{x ^{2}} = arccos (f) + 2 πn : x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}

Solve

\frac{1}{x ^{2}} = - arccos (f) + 2 πn : x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}, x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

sin (θ) = 45

cot (θ) + 2 csc (θ) = 6

3 \cdot cos (x) - sin (x) = 0

\frac{1 + cot ( x )}{1 + tan ( x )} = 5

4 = 4 cos (x)