What is the general solution for cos(x)=0.2588 ?

The general solution for cos(x)=0.2588 is x=1.30901…+2pin,x=2pi-1.30901…+2pin

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cos(x)=0.2588

cos (x) = 0.2588

x = 1.30901 \dots + 2 πn, x = 2 π - 1.30901 \dots + 2 πn

Degrees

x = 75.00112 \dots^{\circ} + 36 0^{\circ} n, x = 284.99887 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.2588

Apply trig inverse properties

cos (x) = 0.2588

General solutions for

cos (x) = 0.2588

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

x = arccos (0.2588) + 2 πn, x = 2 π - arccos (0.2588) + 2 πn

x = arccos (0.2588) + 2 πn, x = 2 π - arccos (0.2588) + 2 πn

Show solutions in decimal form

x = 1.30901 \dots + 2 πn, x = 2 π - 1.30901 \dots + 2 πn

2 tan^{2} (x) + 3 tan (x) + 1 = 0

- arctan (t) = \frac{4 - π}{4}

cos^{2} (x + 3 0^{\circ}) = \frac{1}{4}

cos (5 7^{\circ}) = sin (x)

3 cos (x) = 2 - cos (x)

What is the general solution for cos(x)=0.2588 ?
The general solution for cos(x)=0.2588 is x=1.30901…+2pin,x=2pi-1.30901…+2pin