What is the general solution for -9cos(x)=4 ?

The general solution for -9cos(x)=4 is x=2.03135…+2pin,x=-2.03135…+2pin

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-9cos(x)=4

- 9 cos (x) = 4

x = 2.03135 \dots + 2 πn, x = - 2.03135 \dots + 2 πn

Solution steps

- 9 cos (x) = 4

Divide both sides by

- 9

cos (x) = - \frac{4}{9}

Apply trig inverse properties

x = arccos (- \frac{4}{9}) + 2 πn, x = - arccos (- \frac{4}{9}) + 2 πn

Show solutions in decimal form

x = 2.03135 \dots + 2 πn, x = - 2.03135 \dots + 2 πn

arcsin (3 x) + arcsin (x) = 6 0^{\circ}

cos (x) + sin (x) = \frac{1}{2}

4 cos^{2} (2 x) - 4 cos (2 x) + 1 = 0

cos (θ) = \frac{2}{13}

4 sin (x - π) + 2 = 0

What is the general solution for -9cos(x)=4 ?
The general solution for -9cos(x)=4 is x=2.03135…+2pin,x=-2.03135…+2pin