What is the general solution for cos(x)=-0.9 ?

The general solution for cos(x)=-0.9 is x=2.69056…+2pin,x=-2.69056…+2pin

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cos(x)=-0.9

cos (x) = - 0.9

x = 2.69056 \dots + 2 πn, x = - 2.69056 \dots + 2 πn

Degrees

x = 154.15806 \dots^{\circ} + 36 0^{\circ} n, x = - 154.15806 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.9

Apply trig inverse properties

cos (x) = - 0.9

General solutions for

cos (x) = - 0.9

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

x = arccos (- 0.9) + 2 πn, x = - arccos (- 0.9) + 2 πn

x = arccos (- 0.9) + 2 πn, x = - arccos (- 0.9) + 2 πn

Show solutions in decimal form

x = 2.69056 \dots + 2 πn, x = - 2.69056 \dots + 2 πn

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

sec (\frac{x}{5}) = 10

csc (x) = - 3

csc (x) = - 5

csc^{2} (θ) + 1 = cot^{2} (θ)

What is the general solution for cos(x)=-0.9 ?
The general solution for cos(x)=-0.9 is x=2.69056…+2pin,x=-2.69056…+2pin