What is the general solution for cos(θ)=-5/8 ?

The general solution for cos(θ)=-5/8 is θ=2.24592…+2pin,θ=-2.24592…+2pin

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cos(θ)=-5/8

cos (θ) = - \frac{5}{8}

θ = 2.24592 \dots + 2 πn, θ = - 2.24592 \dots + 2 πn

Degrees

θ = 128.68218 \dots^{\circ} + 36 0^{\circ} n, θ = - 128.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{5}{8}

Apply trig inverse properties

cos (θ) = - \frac{5}{8}

General solutions for

cos (θ) = - \frac{5}{8}

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

θ = arccos (- \frac{5}{8}) + 2 πn, θ = - arccos (- \frac{5}{8}) + 2 πn

θ = arccos (- \frac{5}{8}) + 2 πn, θ = - arccos (- \frac{5}{8}) + 2 πn

Show solutions in decimal form

θ = 2.24592 \dots + 2 πn, θ = - 2.24592 \dots + 2 πn

\frac{368.02}{sin ( 6 6 ^{\circ} - x )} = \frac{290}{sin ( 3 8 ^{\circ} )}

cos^{2} (x) sec (x) = 1

tan (x) = \frac{9.3}{7.5}

sin (α) + cos (α) = 1

2 sin (θ) = 3 tan (θ)

What is the general solution for cos(θ)=-5/8 ?
The general solution for cos(θ)=-5/8 is θ=2.24592…+2pin,θ=-2.24592…+2pin