What is the general solution for cos(x)=0.95 ?

The general solution for cos(x)=0.95 is x=0.31756…+2pin,x=2pi-0.31756…+2pin

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cos(x)=0.95

cos (x) = 0.95

x = 0.31756 \dots + 2 πn, x = 2 π - 0.31756 \dots + 2 πn

Degrees

x = 18.19487 \dots^{\circ} + 36 0^{\circ} n, x = 341.80512 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.95

Apply trig inverse properties

cos (x) = 0.95

General solutions for

cos (x) = 0.95

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

x = arccos (0.95) + 2 πn, x = 2 π - arccos (0.95) + 2 πn

x = arccos (0.95) + 2 πn, x = 2 π - arccos (0.95) + 2 πn

Show solutions in decimal form

x = 0.31756 \dots + 2 πn, x = 2 π - 0.31756 \dots + 2 πn

2 cos (2 θ) + 2 cos (θ) + 2 = 3 cos (θ)

1 + csc (x) = cot^{2} (x)

cos (\frac{1}{4 θ}) = \frac{- 2}{2}

cos (x) tan (x) - 2 cos^{2} (x) = - 1

3 cot (\frac{1}{4} x) = 1

What is the general solution for cos(x)=0.95 ?
The general solution for cos(x)=0.95 is x=0.31756…+2pin,x=2pi-0.31756…+2pin