What is the general solution for cos(x)= 35/45 ?

The general solution for cos(x)= 35/45 is x=0.67967…+2pin,x=2pi-0.67967…+2pin

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cos(x)= 35/45

cos (x) = \frac{35}{45}

x = 0.67967 \dots + 2 πn, x = 2 π - 0.67967 \dots + 2 πn

Degrees

x = 38.94244 \dots^{\circ} + 36 0^{\circ} n, x = 321.05755 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{35}{45}

Cancel the common factor:

5

cos (x) = \frac{7}{9}

Apply trig inverse properties

cos (x) = \frac{7}{9}

General solutions for

cos (x) = \frac{7}{9}

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

x = arccos (\frac{7}{9}) + 2 πn, x = 2 π - arccos (\frac{7}{9}) + 2 πn

x = arccos (\frac{7}{9}) + 2 πn, x = 2 π - arccos (\frac{7}{9}) + 2 πn

Show solutions in decimal form

x = 0.67967 \dots + 2 πn, x = 2 π - 0.67967 \dots + 2 πn

\frac{π}{6} = cos (2 t)

x, 3 tan (2 x) = 1

y, x = 5 \cdot sin (y)

12 cos^{2} (x) - cos (x) - 1 = 0

t, x = a cos^{2} (t) + b sin^{2} (t)

What is the general solution for cos(x)= 35/45 ?
The general solution for cos(x)= 35/45 is x=0.67967…+2pin,x=2pi-0.67967…+2pin