What is the general solution for cos(x)= 4/7 ?

The general solution for cos(x)= 4/7 is x=0.96255…+2pin,x=2pi-0.96255…+2pin

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cos(x)= 4/7

cos (x) = \frac{4}{7}

x = 0.96255 \dots + 2 πn, x = 2 π - 0.96255 \dots + 2 πn

Degrees

x = 55.15009 \dots^{\circ} + 36 0^{\circ} n, x = 304.84990 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{4}{7}

Apply trig inverse properties

cos (x) = \frac{4}{7}

General solutions for

cos (x) = \frac{4}{7}

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

x = arccos (\frac{4}{7}) + 2 πn, x = 2 π - arccos (\frac{4}{7}) + 2 πn

x = arccos (\frac{4}{7}) + 2 πn, x = 2 π - arccos (\frac{4}{7}) + 2 πn

Show solutions in decimal form

x = 0.96255 \dots + 2 πn, x = 2 π - 0.96255 \dots + 2 πn

csc^{2} (x) - 2 cot (x) = 0

tan (θ) = - \frac{4}{3}

5 csc (θ) - 3 = 2

3 cos (θ - 5 5^{\circ}) = - 1.56

cot (3 x) = 3

What is the general solution for cos(x)= 4/7 ?
The general solution for cos(x)= 4/7 is x=0.96255…+2pin,x=2pi-0.96255…+2pin