What is the general solution for cos(x)=(17.6)/(26) ?

The general solution for cos(x)=(17.6)/(26) is x=0.82722…+2pin,x=2pi-0.82722…+2pin

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cos(x)=(17.6)/(26)

cos (x) = \frac{17.6}{26}

x = 0.82722 \dots + 2 πn, x = 2 π - 0.82722 \dots + 2 πn

Degrees

x = 47.39633 \dots^{\circ} + 36 0^{\circ} n, x = 312.60366 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{17.6}{26}

Apply trig inverse properties

cos (x) = \frac{17.6}{26}

General solutions for

cos (x) = \frac{17.6}{26}

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

x = arccos (\frac{17.6}{26}) + 2 πn, x = 2 π - arccos (\frac{17.6}{26}) + 2 πn

x = arccos (\frac{17.6}{26}) + 2 πn, x = 2 π - arccos (\frac{17.6}{26}) + 2 πn

Show solutions in decimal form

x = 0.82722 \dots + 2 πn, x = 2 π - 0.82722 \dots + 2 πn

tan (2 θ) = - 2.5

1 + 4 cos (θ) = 3 sin (θ), 0 \leq θ \leq 2 π

\frac{150}{sin ( x )} = \frac{140.78}{sin ( 11 5 ^{\circ} )}

tan^{2} (x) + cot^{2} (x) = 2

tan^{2} (x) + cot^{2} (x) = 1

What is the general solution for cos(x)=(17.6)/(26) ?
The general solution for cos(x)=(17.6)/(26) is x=0.82722…+2pin,x=2pi-0.82722…+2pin