What is the general solution for cos(x)=(22.5)/(34) ?

The general solution for cos(x)=(22.5)/(34) is x=0.84762…+2pin,x=2pi-0.84762…+2pin

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cos(x)=(22.5)/(34)

cos (x) = \frac{22.5}{34}

x = 0.84762 \dots + 2 πn, x = 2 π - 0.84762 \dots + 2 πn

Degrees

x = 48.56540 \dots^{\circ} + 36 0^{\circ} n, x = 311.43459 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{22.5}{34}

Apply trig inverse properties

cos (x) = \frac{22.5}{34}

General solutions for

cos (x) = \frac{22.5}{34}

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

x = arccos (\frac{22.5}{34}) + 2 πn, x = 2 π - arccos (\frac{22.5}{34}) + 2 πn

x = arccos (\frac{22.5}{34}) + 2 πn, x = 2 π - arccos (\frac{22.5}{34}) + 2 πn

Show solutions in decimal form

x = 0.84762 \dots + 2 πn, x = 2 π - 0.84762 \dots + 2 πn

tan (x) = - \frac{6}{7}

6 sin (2 x) + 9 cos (x) = 0

tan (x) = \frac{3.504}{156.85}

cos (x) = - 0.346

3 sin (t) = - 3 + cos (t)

What is the general solution for cos(x)=(22.5)/(34) ?
The general solution for cos(x)=(22.5)/(34) is x=0.84762…+2pin,x=2pi-0.84762…+2pin