What is the general solution for cos(x)=-9/41 ?

The general solution for cos(x)=-9/41 is x=1.79211…+2pin,x=-1.79211…+2pin

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cos(x)=-9/41

cos (x) = - \frac{9}{41}

x = 1.79211 \dots + 2 πn, x = - 1.79211 \dots + 2 πn

Degrees

x = 102.68038 \dots^{\circ} + 36 0^{\circ} n, x = - 102.68038 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{9}{41}

Apply trig inverse properties

cos (x) = - \frac{9}{41}

General solutions for

cos (x) = - \frac{9}{41}

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

x = arccos (- \frac{9}{41}) + 2 πn, x = - arccos (- \frac{9}{41}) + 2 πn

x = arccos (- \frac{9}{41}) + 2 πn, x = - arccos (- \frac{9}{41}) + 2 πn

Show solutions in decimal form

x = 1.79211 \dots + 2 πn, x = - 1.79211 \dots + 2 πn

5 sin (y) = 3 sin (y) + 3

2 sin^{2} (θ) + sin^{2} (θ) = 0

cos (θ) = - 0.42, 0^{\circ} \leq θ < 36 0^{\circ}

sin (2 x) = \frac{1}{2}, 0 < x < 2 π

4 sin^{2} (θ) + 2 cos (θ) = 3

What is the general solution for cos(x)=-9/41 ?
The general solution for cos(x)=-9/41 is x=1.79211…+2pin,x=-1.79211…+2pin