What is the general solution for -0.15=cos(θ) ?

The general solution for -0.15=cos(θ) is θ=1.72136…+2pin,θ=-1.72136…+2pin

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-0.15=cos(θ)

- 0.15 = cos (θ)

θ = 1.72136 \dots + 2 πn, θ = - 1.72136 \dots + 2 πn

Degrees

θ = 98.62692 \dots^{\circ} + 36 0^{\circ} n, θ = - 98.62692 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- 0.15 = cos (θ)

Switch sides

cos (θ) = - 0.15

Apply trig inverse properties

cos (θ) = - 0.15

General solutions for

cos (θ) = - 0.15

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

θ = arccos (- 0.15) + 2 πn, θ = - arccos (- 0.15) + 2 πn

θ = arccos (- 0.15) + 2 πn, θ = - arccos (- 0.15) + 2 πn

Show solutions in decimal form

θ = 1.72136 \dots + 2 πn, θ = - 1.72136 \dots + 2 πn

cos (x) = 90

tan (x) = \frac{14}{29}

sin (x) + sin (2 x) - sin (3 x) = 0

3 (tan (x) - 2) = 2 tan (x) - 7

sin (x) = \frac{3}{4}

What is the general solution for -0.15=cos(θ) ?
The general solution for -0.15=cos(θ) is θ=1.72136…+2pin,θ=-1.72136…+2pin