What is the general solution for cos(x)=(2.9)/(3.2) ?

The general solution for cos(x)=(2.9)/(3.2) is x=0.43646…+2pin,x=2pi-0.43646…+2pin

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cos(x)=(2.9)/(3.2)

cos (x) = \frac{2.9}{3.2}

x = 0.43646 \dots + 2 πn, x = 2 π - 0.43646 \dots + 2 πn

Solution steps

cos (x) = \frac{2.9}{3.2}

Apply trig inverse properties

x = arccos (\frac{2.9}{3.2}) + 2 πn, x = 2 π - arccos (\frac{2.9}{3.2}) + 2 πn

Show solutions in decimal form

x = 0.43646 \dots + 2 πn, x = 2 π - 0.43646 \dots + 2 πn

sin (θ) = \frac{3}{2}, 0 \leq θ < 2 π

cos (θ) sin (θ) - 3 cos (θ) = 0

\frac{3}{2} = cos (θ)

7 sin (7 x) = 0

csc (θ) = \frac{5}{3}

What is the general solution for cos(x)=(2.9)/(3.2) ?
The general solution for cos(x)=(2.9)/(3.2) is x=0.43646…+2pin,x=2pi-0.43646…+2pin