What is the general solution for cos(x)=0.7 ?

The general solution for cos(x)=0.7 is x=0.79539…+2pin,x=2pi-0.79539…+2pin

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cos(x)=0.7

cos (x) = 0.7

x = 0.79539 \dots + 2 πn, x = 2 π - 0.79539 \dots + 2 πn

Solution steps

cos (x) = 0.7

Apply trig inverse properties

x = arccos (0.7) + 2 πn, x = 2 π - arccos (0.7) + 2 πn

Show solutions in decimal form

x = 0.79539 \dots + 2 πn, x = 2 π - 0.79539 \dots + 2 πn

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

sin (x) = - \frac{1}{4}

sin (x) + cos (2 x) = 0

sin (x) - cos (x) = 2

sin (x) = \frac{3}{2}, 0 \leq x \leq 2 π

What is the general solution for cos(x)=0.7 ?
The general solution for cos(x)=0.7 is x=0.79539…+2pin,x=2pi-0.79539…+2pin