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 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

tan (x) = 3.5

sec (θ) = \frac{1}{sec ( θ )}

- 2 tan (θ) + 1 = 3 tan (θ) - 7

5 cos (x) + 2 = 3 cos (x)

- 2 sin^{2} (θ) + 10 sin (θ) - 3 = 3 sin (θ)

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