What is the general solution for cos(x)= 10/26 ?

The general solution for cos(x)= 10/26 is x=1.17600…+2pin,x=2pi-1.17600…+2pin

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cos(x)= 10/26

cos (x) = \frac{10}{26}

x = 1.17600 \dots + 2 πn, x = 2 π - 1.17600 \dots + 2 πn

Degrees

x = 67.38013 \dots^{\circ} + 36 0^{\circ} n, x = 292.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{10}{26}

Cancel the common factor:

2

cos (x) = \frac{5}{13}

Apply trig inverse properties

cos (x) = \frac{5}{13}

General solutions for

cos (x) = \frac{5}{13}

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

x = arccos (\frac{5}{13}) + 2 πn, x = 2 π - arccos (\frac{5}{13}) + 2 πn

x = arccos (\frac{5}{13}) + 2 πn, x = 2 π - arccos (\frac{5}{13}) + 2 πn

Show solutions in decimal form

x = 1.17600 \dots + 2 πn, x = 2 π - 1.17600 \dots + 2 πn

x, sin (x) = 5

2 cos (A) = - 2

6 sin (x) + 5 cos (x) = 0

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

2 sin^{3} (x) = 0

What is the general solution for cos(x)= 10/26 ?
The general solution for cos(x)= 10/26 is x=1.17600…+2pin,x=2pi-1.17600…+2pin