What is the general solution for cos(x)= 11/61 ?

The general solution for cos(x)= 11/61 is x=1.38947…+2pin,x=2pi-1.38947…+2pin

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cos(x)= 11/61

cos (x) = \frac{11}{61}

x = 1.38947 \dots + 2 πn, x = 2 π - 1.38947 \dots + 2 πn

Degrees

x = 79.61114 \dots^{\circ} + 36 0^{\circ} n, x = 280.38885 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{11}{61}

Apply trig inverse properties

cos (x) = \frac{11}{61}

General solutions for

cos (x) = \frac{11}{61}

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

x = arccos (\frac{11}{61}) + 2 πn, x = 2 π - arccos (\frac{11}{61}) + 2 πn

x = arccos (\frac{11}{61}) + 2 πn, x = 2 π - arccos (\frac{11}{61}) + 2 πn

Show solutions in decimal form

x = 1.38947 \dots + 2 πn, x = 2 π - 1.38947 \dots + 2 πn

- 1 = sec (x)

tan (x) = \frac{59}{36}

3 csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

2 cos^{2} (x) - cos (x) = 3

4 cos (t) = 3

What is the general solution for cos(x)= 11/61 ?
The general solution for cos(x)= 11/61 is x=1.38947…+2pin,x=2pi-1.38947…+2pin