What is the general solution for cos(x)=(6.5)/(8.4) ?

The general solution for cos(x)=(6.5)/(8.4) is x=0.68596…+2pin,x=2pi-0.68596…+2pin

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cos(x)=(6.5)/(8.4)

cos (x) = \frac{6.5}{8.4}

x = 0.68596 \dots + 2 πn, x = 2 π - 0.68596 \dots + 2 πn

Solution steps

cos (x) = \frac{6.5}{8.4}

Apply trig inverse properties

x = arccos (\frac{6.5}{8.4}) + 2 πn, x = 2 π - arccos (\frac{6.5}{8.4}) + 2 πn

Show solutions in decimal form

x = 0.68596 \dots + 2 πn, x = 2 π - 0.68596 \dots + 2 πn

tan (θ) = \frac{1}{10}

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

3 sin^{2} (θ) + 3 sin (θ) - 6 = - 4 sin (θ)

sin (4 x) - cos (3 x) = sin (2 x)

sin (x) cos (x) = \frac{1}{2} tan (x)

What is the general solution for cos(x)=(6.5)/(8.4) ?
The general solution for cos(x)=(6.5)/(8.4) is x=0.68596…+2pin,x=2pi-0.68596…+2pin