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

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

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cos(a)=(-3)/5

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

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

Degrees

a = 126.86989 \dots^{\circ} + 36 0^{\circ} n, a = - 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply the fraction rule:

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

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

cos (x) + sin (x - 1) = 0

sin^{22} (x) = \frac{1}{2}

cos^{5} (x) = cos (x)

tan (x) = (\frac{1.8}{3.6})

sec (x + 3 0^{\circ}) = 2

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