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

The general solution for cos(a)= 3/5 is a=0.92729…+2pin,a=2pi-0.92729…+2pin

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cos(a)= 3/5

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

a = 0.92729 \dots + 2 πn, a = 2 π - 0.92729 \dots + 2 πn

Degrees

a = 53.13010 \dots^{\circ} + 36 0^{\circ} n, a = 306.86989 \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 = 2 π - arccos (a) + 2 πn

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

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

Show solutions in decimal form

a = 0.92729 \dots + 2 πn, a = 2 π - 0.92729 \dots + 2 πn

- sin (x) + sin (2 x) = 0

2 sec^{2} (x) + tan (x) - 3 = 0

tan (θ) = \frac{2}{5}, π < θ < \frac{3 π}{2}

sin (2 θ) = 2 sin (θ)

sec (3 x) = - 2

What is the general solution for cos(a)= 3/5 ?
The general solution for cos(a)= 3/5 is a=0.92729…+2pin,a=2pi-0.92729…+2pin