What is the general solution for 7cos(x)=-1 ?

The general solution for 7cos(x)=-1 is x=1.71414…+2pin,x=-1.71414…+2pin

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7cos(x)=-1

7 cos (x) = - 1

x = 1.71414 \dots + 2 πn, x = - 1.71414 \dots + 2 πn

Solution steps

7 cos (x) = - 1

Divide both sides by

7

cos (x) = - \frac{1}{7}

Apply trig inverse properties

x = arccos (- \frac{1}{7}) + 2 πn, x = - arccos (- \frac{1}{7}) + 2 πn

Show solutions in decimal form

x = 1.71414 \dots + 2 πn, x = - 1.71414 \dots + 2 πn

2 sin^{2} (θ) + cos (θ) - 2 = - 1

sin^{2} (x) - 6 cos (x) + 6 = 0

cos (x) = \frac{14.3}{19}

- 12 sin (x) = 0

3 cot^{2} (x) - 5 = - 4

What is the general solution for 7cos(x)=-1 ?
The general solution for 7cos(x)=-1 is x=1.71414…+2pin,x=-1.71414…+2pin