What is the general solution for cos(x)=0.695 ?

The general solution for cos(x)=0.695 is x=0.80237…+2pin,x=2pi-0.80237…+2pin

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cos(x)=0.695

cos (x) = 0.695

x = 0.80237 \dots + 2 πn, x = 2 π - 0.80237 \dots + 2 πn

Degrees

x = 45.97278 \dots^{\circ} + 36 0^{\circ} n, x = 314.02721 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.695

Apply trig inverse properties

cos (x) = 0.695

General solutions for

cos (x) = 0.695

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

x = arccos (0.695) + 2 πn, x = 2 π - arccos (0.695) + 2 πn

x = arccos (0.695) + 2 πn, x = 2 π - arccos (0.695) + 2 πn

Show solutions in decimal form

x = 0.80237 \dots + 2 πn, x = 2 π - 0.80237 \dots + 2 πn

3 + sec (x) = 5

cos (x) = \frac{3}{30}

- 5 sin (t) + 9 cos (t) = 0

sin (2.5 x) = 2.75 cos (2.5 x)

cos (x) + 1 - 2 sin^{2} (x) = 0

What is the general solution for cos(x)=0.695 ?
The general solution for cos(x)=0.695 is x=0.80237…+2pin,x=2pi-0.80237…+2pin