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

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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

sin^{2} (x) = 1 - 2 cos^{2} (x)

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

3 + 8 cos (2 θ) = - 1

- 4 cos^{2} (x) + 6 cos (x) = 2

sec (θ) = - \frac{4}{3}

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