What is the general solution for cos(x)= 32/50 ?

The general solution for cos(x)= 32/50 is x=0.87629…+2pin,x=2pi-0.87629…+2pin

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cos(x)= 32/50

cos (x) = \frac{32}{50}

x = 0.87629 \dots + 2 πn, x = 2 π - 0.87629 \dots + 2 πn

Degrees

x = 50.20818 \dots^{\circ} + 36 0^{\circ} n, x = 309.79181 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{32}{50}

Cancel the common factor:

2

cos (x) = \frac{16}{25}

Apply trig inverse properties

cos (x) = \frac{16}{25}

General solutions for

cos (x) = \frac{16}{25}

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

x = arccos (\frac{16}{25}) + 2 πn, x = 2 π - arccos (\frac{16}{25}) + 2 πn

x = arccos (\frac{16}{25}) + 2 πn, x = 2 π - arccos (\frac{16}{25}) + 2 πn

Show solutions in decimal form

x = 0.87629 \dots + 2 πn, x = 2 π - 0.87629 \dots + 2 πn

tan (\frac{A}{2}) = 1.02

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

h = 3 sin (2 x - 1) + 4

sin^{2} (x) + 2 = 3 sin (x)

sin (x + \frac{π}{3}) = \frac{1}{2} cos (x - \frac{π}{6})

What is the general solution for cos(x)= 32/50 ?
The general solution for cos(x)= 32/50 is x=0.87629…+2pin,x=2pi-0.87629…+2pin