What is the general solution for 7cos(θ)+sqrt(20)=0 ?

The general solution for 7cos(θ)+sqrt(20)=0 is θ=2.26383…+2pin,θ=-2.26383…+2pin

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7cos(θ)+sqrt(20)=0

7 cos (θ) + 20 = 0

θ = 2.26383 \dots + 2 πn, θ = - 2.26383 \dots + 2 πn

Solution steps

7 cos (θ) + 20 = 0

20 = 25

7 cos (θ) + 25 = 0

Move

25

to the right side

7 cos (θ) = - 25

Divide both sides by

7

cos (θ) = - \frac{2 5}{7}

Apply trig inverse properties

θ = arccos (- \frac{2 5}{7}) + 2 πn, θ = - arccos (- \frac{2 5}{7}) + 2 πn

Show solutions in decimal form

θ = 2.26383 \dots + 2 πn, θ = - 2.26383 \dots + 2 πn

sec^{2} (x) = \frac{1}{2} csc^{2} (x) + tan^{2} (x)

x, sin (x + 3 0^{\circ}) = tan (1 0^{\circ})

4 cos (2 θ) - 3 cos (θ) + 4 = - cos (θ) + 3

cos (2 x) = 0.28

cos (3 x) = 3 sin (3 x)

What is the general solution for 7cos(θ)+sqrt(20)=0 ?
The general solution for 7cos(θ)+sqrt(20)=0 is θ=2.26383…+2pin,θ=-2.26383…+2pin