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

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

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solvefor x,cos(x)=(-3)/5

solve for

x, 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

4 sin^{2} (x) = 4 cos (x) + 5

sin (3 x - \frac{π}{5}) = 0 - 1

2 + sin (3 θ) = 3 - sin (3 θ)

sin (2 x) = - cos (3 x) + sin (4 x)

sin (x + \frac{π}{2}) = - cos (x)

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