What is the general solution for cos(x)=0.77 ?

The general solution for cos(x)=0.77 is x=0.69195…+2pin,x=2pi-0.69195…+2pin

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cos(x)=0.77

cos (x) = 0.77

x = 0.69195 \dots + 2 πn, x = 2 π - 0.69195 \dots + 2 πn

Degrees

x = 39.64611 \dots^{\circ} + 36 0^{\circ} n, x = 320.35388 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.77

Apply trig inverse properties

cos (x) = 0.77

General solutions for

cos (x) = 0.77

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

x = arccos (0.77) + 2 πn, x = 2 π - arccos (0.77) + 2 πn

x = arccos (0.77) + 2 πn, x = 2 π - arccos (0.77) + 2 πn

Show solutions in decimal form

x = 0.69195 \dots + 2 πn, x = 2 π - 0.69195 \dots + 2 πn

cos (θ) = - \frac{3}{5}

2 sec (x) + tan^{2} (x) - 9 = 1

sin (x) = 1.34

tan (x) sin^{2} (x) = sin (2 x)

6 - 9 sin (θ) - 4 cos^{2} (θ) = 0

What is the general solution for cos(x)=0.77 ?
The general solution for cos(x)=0.77 is x=0.69195…+2pin,x=2pi-0.69195…+2pin