What is the general solution for 2cos(x)=1.7 ?

The general solution for 2cos(x)=1.7 is x=0.55481…+2pin,x=2pi-0.55481…+2pin

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2cos(x)=1.7

2 cos (x) = 1.7

x = 0.55481 \dots + 2 πn, x = 2 π - 0.55481 \dots + 2 πn

Degrees

x = 31.78833 \dots^{\circ} + 36 0^{\circ} n, x = 328.21166 \dots^{\circ} + 36 0^{\circ} n

Solution steps

2 cos (x) = 1.7

Divide both sides by

2

2 cos (x) = 1.7

Divide both sides by

2

\frac{2 cos ( x )}{2} = \frac{1.7}{2}

Simplify

cos (x) = 0.85

cos (x) = 0.85

Apply trig inverse properties

cos (x) = 0.85

General solutions for

cos (x) = 0.85

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

x = arccos (0.85) + 2 πn, x = 2 π - arccos (0.85) + 2 πn

x = arccos (0.85) + 2 πn, x = 2 π - arccos (0.85) + 2 πn

Show solutions in decimal form

x = 0.55481 \dots + 2 πn, x = 2 π - 0.55481 \dots + 2 πn

sin (2 x + 30) = 0.8

1 - 2 sin (x) = - 1

4 tan^{2} (x) + sec (x) = - 2 tan^{2} (x) + sec^{2} (x) - 3

sin (α) = 0, 8 y (α) α < 9 0^{\circ}, cos (α)

cos (θ) = \frac{2}{5}, tan (θ), 0 < θ < \frac{π}{2}, π < θ < 2 π

What is the general solution for 2cos(x)=1.7 ?
The general solution for 2cos(x)=1.7 is x=0.55481…+2pin,x=2pi-0.55481…+2pin