What is the general solution for cos(θ)=-7/25 ?

The general solution for cos(θ)=-7/25 is θ=1.85459…+2pin,θ=-1.85459…+2pin

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cos(θ)=-7/25

cos (θ) = - \frac{7}{25}

θ = 1.85459 \dots + 2 πn, θ = - 1.85459 \dots + 2 πn

Degrees

θ = 106.26020 \dots^{\circ} + 36 0^{\circ} n, θ = - 106.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{7}{25}

Apply trig inverse properties

cos (θ) = - \frac{7}{25}

General solutions for

cos (θ) = - \frac{7}{25}

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

θ = arccos (- \frac{7}{25}) + 2 πn, θ = - arccos (- \frac{7}{25}) + 2 πn

θ = arccos (- \frac{7}{25}) + 2 πn, θ = - arccos (- \frac{7}{25}) + 2 πn

Show solutions in decimal form

θ = 1.85459 \dots + 2 πn, θ = - 1.85459 \dots + 2 πn

3 cos (x) + 3 sin (x) tan (x) = 6

tan^{2} (2 x) - 1 = 0

3 sin (4 x) = - 6 sin (2 x)

2 sin (2 θ) - 3 = 0

2 sin^{2} (x) - sin (x) - 1 = 0, 0 \leq x \leq 2 π

What is the general solution for cos(θ)=-7/25 ?
The general solution for cos(θ)=-7/25 is θ=1.85459…+2pin,θ=-1.85459…+2pin