What is the general solution for cos(x)= 9/13 ?

The general solution for cos(x)= 9/13 is x=0.80611…+2pin,x=2pi-0.80611…+2pin

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cos(x)= 9/13

cos (x) = \frac{9}{13}

x = 0.80611 \dots + 2 πn, x = 2 π - 0.80611 \dots + 2 πn

Solution steps

cos (x) = \frac{9}{13}

Apply trig inverse properties

x = arccos (\frac{9}{13}) + 2 πn, x = 2 π - arccos (\frac{9}{13}) + 2 πn

Show solutions in decimal form

x = 0.80611 \dots + 2 πn, x = 2 π - 0.80611 \dots + 2 πn

cos^{2} (x) = \frac{( 6 k - 9 )}{10}

cot (x) + csc (x) = - 1

cos^{2} (x) = \frac{( 3 k - 3 )}{8}

8 sin^{2} (x) - 10 cos (x) - 11 = 0

∣ tan (x) ∣ = 1, 0 \leq x \leq 2 π

What is the general solution for cos(x)= 9/13 ?
The general solution for cos(x)= 9/13 is x=0.80611…+2pin,x=2pi-0.80611…+2pin