What is the general solution for cos(x)=(-3)/5 ?

The general solution for cos(x)=(-3)/5 is x=2.21429…+2pin,x=-2.21429…+2pin

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cos(x)=(-3)/5

cos (x) = \frac{- 3}{5}

x = 2.21429 \dots + 2 πn, x = - 2.21429 \dots + 2 πn

Solution steps

cos (x) = \frac{- 3}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

cos (x) = - \frac{3}{5}

Apply trig inverse properties

x = arccos (- \frac{3}{5}) + 2 πn, x = - arccos (- \frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 2.21429 \dots + 2 πn, x = - 2.21429 \dots + 2 πn

x, sin (2 x) = - \frac{1}{2}

9 cos (2 θ) = 27 cos (θ) - 18

4 csc (x) = 3 csc (x) cot (x) + 3 csc (x)

4 cos^{2} (x) + 4 cos (x) = 1, 0^{\circ} \leq x < 36 0^{\circ}

8 cos^{2} (x) = 4

What is the general solution for cos(x)=(-3)/5 ?
The general solution for cos(x)=(-3)/5 is x=2.21429…+2pin,x=-2.21429…+2pin