What is the general solution for 3/5 =cos(x) ?

The general solution for 3/5 =cos(x) is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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3/5 =cos(x)

\frac{3}{5} = cos (x)

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Degrees

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

\frac{3}{5} = cos (x)

Switch sides

cos (x) = \frac{3}{5}

Apply trig inverse properties

cos (x) = \frac{3}{5}

General solutions for

cos (x) = \frac{3}{5}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

tan (θ) = \frac{36}{20 + 16}

tan (h) = \frac{9}{9 3}

arcsin (x) + arcsin (3 x) = \frac{π}{2}

cos (x) sin (x) = \frac{1}{2}

(cos (x) - 3) (cos (x) + 1) = 0

What is the general solution for 3/5 =cos(x) ?
The general solution for 3/5 =cos(x) is x=0.92729…+2pin,x=2pi-0.92729…+2pin