What is the general solution for cos(x)= 1/3 ,0<x< pi/2 ?

The general solution for cos(x)= 1/3 ,0<x< pi/2 is x=1.23095…

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cos(x)= 1/3 ,0<x< pi/2

cos (x) = \frac{1}{3}, 0 < x < \frac{π}{2}

x = 1.23095 \dots

Degrees

x = 70.52877 \dots^{\circ}

Solution steps

cos (x) = \frac{1}{3}, 0 < x < \frac{π}{2}

Apply trig inverse properties

cos (x) = \frac{1}{3}

General solutions for

cos (x) = \frac{1}{3}

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

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

Solutions for the range

0 < x < \frac{π}{2}

x = arccos (\frac{1}{3})

Show solutions in decimal form

x = 1.23095 \dots

3 + 2 sin (θ) = 3 + 2 cos (θ)

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

5 sin (θ) + 4 = 0

sin (\frac{5 x}{2}) = 0

sin (3 x - \frac{2 π}{3}) = - \frac{1}{2}

What is the general solution for cos(x)= 1/3 ,0<x< pi/2 ?
The general solution for cos(x)= 1/3 ,0<x< pi/2 is x=1.23095…