What is the general solution for cos(x)= 5/6 ,(3pi)/2 <= x<= 2pi ?

The general solution for cos(x)= 5/6 ,(3pi)/2 <= x<= 2pi is x=2pi-0.58568…

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cos(x)= 5/6 ,(3pi)/2 <= x<= 2pi

cos (x) = \frac{5}{6}, \frac{3 π}{2} \leq x \leq 2 π

x = 2 π - 0.58568 \dots

Degrees

x = 326.44269 \dots^{\circ}

Solution steps

cos (x) = \frac{5}{6}, \frac{3 π}{2} \leq x \leq 2 π

Apply trig inverse properties

cos (x) = \frac{5}{6}

General solutions for

cos (x) = \frac{5}{6}

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

x = arccos (\frac{5}{6}) + 2 πn, x = 2 π - arccos (\frac{5}{6}) + 2 πn

x = arccos (\frac{5}{6}) + 2 πn, x = 2 π - arccos (\frac{5}{6}) + 2 πn

Solutions for the range

\frac{3 π}{2} \leq x \leq 2 π

x = 2 π - arccos (\frac{5}{6})

Show solutions in decimal form

x = 2 π - 0.58568 \dots

tan (2 x - 3) = - 1

2 sin^{2} (x) + 5 cos (x) - 3 = 0

3 cos^{2} (x) + 4 cos (x) - 4 = 0

sin (θ) = - \frac{27}{190}

4 sin (θ) = 1 + sin (θ)

What is the general solution for cos(x)= 5/6 ,(3pi)/2 <= x<= 2pi ?
The general solution for cos(x)= 5/6 ,(3pi)/2 <= x<= 2pi is x=2pi-0.58568…