What is the general solution for cos(w)=0.53 ?

The general solution for cos(w)=0.53 is w=1.01219…+2pin,w=2pi-1.01219…+2pin

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cos(w)=0.53

cos (w) = 0.53

w = 1.01219 \dots + 2 πn, w = 2 π - 1.01219 \dots + 2 πn

Degrees

w = 57.99454 \dots^{\circ} + 36 0^{\circ} n, w = 302.00545 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (w) = 0.53

Apply trig inverse properties

cos (w) = 0.53

General solutions for

cos (w) = 0.53

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

w = arccos (0.53) + 2 πn, w = 2 π - arccos (0.53) + 2 πn

w = arccos (0.53) + 2 πn, w = 2 π - arccos (0.53) + 2 πn

Show solutions in decimal form

w = 1.01219 \dots + 2 πn, w = 2 π - 1.01219 \dots + 2 πn

sin (s) = 0.41374

sec (x) = 2 tan (x)

cos^{2} (a) = 2

arctan (2 x) = - \frac{16}{10}

3 tan (x) + 4 = 0

What is the general solution for cos(w)=0.53 ?
The general solution for cos(w)=0.53 is w=1.01219…+2pin,w=2pi-1.01219…+2pin