What is the general solution for cos(x)=(154)/(212.85) ?

The general solution for cos(x)=(154)/(212.85) is x=0.76191…+2pin,x=2pi-0.76191…+2pin

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cos(x)=(154)/(212.85)

cos (x) = \frac{154}{212.85}

x = 0.76191 \dots + 2 πn, x = 2 π - 0.76191 \dots + 2 πn

Degrees

x = 43.65461 \dots^{\circ} + 36 0^{\circ} n, x = 316.34538 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{154}{212.85}

Apply trig inverse properties

cos (x) = \frac{154}{212.85}

General solutions for

cos (x) = \frac{154}{212.85}

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

x = arccos (\frac{154}{212.85}) + 2 πn, x = 2 π - arccos (\frac{154}{212.85}) + 2 πn

x = arccos (\frac{154}{212.85}) + 2 πn, x = 2 π - arccos (\frac{154}{212.85}) + 2 πn

Show solutions in decimal form

x = 0.76191 \dots + 2 πn, x = 2 π - 0.76191 \dots + 2 πn

4 sin^{2} (x) - 2 = 0, 0 \leq x \leq 2 π

csc^{2} (θ) = 7 cot (θ) + 9

cos^{2} (x) + 6 cos (x) = - 3, y = 3

2 sec^{2} (x) - 5 tan (x) = 5

coth (z) = 1

What is the general solution for cos(x)=(154)/(212.85) ?
The general solution for cos(x)=(154)/(212.85) is x=0.76191…+2pin,x=2pi-0.76191…+2pin