What is the general solution for cos(x)=0.74 ?

The general solution for cos(x)=0.74 is x=0.73772…+2pin,x=2pi-0.73772…+2pin

cos(x)=0.74

cos (x) = 0.74

x = 0.73772 \dots + 2 πn, x = 2 π - 0.73772 \dots + 2 πn

Degrees

x = 42.26858 \dots^{\circ} + 36 0^{\circ} n, x = 317.73141 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.74

Apply trig inverse properties

cos (x) = 0.74

General solutions for

cos (x) = 0.74

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

x = arccos (0.74) + 2 πn, x = 2 π - arccos (0.74) + 2 πn

x = arccos (0.74) + 2 πn, x = 2 π - arccos (0.74) + 2 πn

Show solutions in decimal form

x = 0.73772 \dots + 2 πn, x = 2 π - 0.73772 \dots + 2 πn

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3 (tan (x) + sin^{2} (x)) - 4 = 4 tan (x) - 3 cos^{2} (x)

What is the general solution for cos(x)=0.74 ?
The general solution for cos(x)=0.74 is x=0.73772…+2pin,x=2pi-0.73772…+2pin