What is the general solution for cos(A)= 8/15 ?

The general solution for cos(A)= 8/15 is A=1.00826…+2pin,A=2pi-1.00826…+2pin

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cos(A)= 8/15

cos (A) = \frac{8}{15}

A = 1.00826 \dots + 2 πn, A = 2 π - 1.00826 \dots + 2 πn

Degrees

A = 57.76904 \dots^{\circ} + 36 0^{\circ} n, A = 302.23095 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (A) = \frac{8}{15}

Apply trig inverse properties

cos (A) = \frac{8}{15}

General solutions for

cos (A) = \frac{8}{15}

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

A = arccos (\frac{8}{15}) + 2 πn, A = 2 π - arccos (\frac{8}{15}) + 2 πn

A = arccos (\frac{8}{15}) + 2 πn, A = 2 π - arccos (\frac{8}{15}) + 2 πn

Show solutions in decimal form

A = 1.00826 \dots + 2 πn, A = 2 π - 1.00826 \dots + 2 πn

- 6 cos (θ) = 2 - 2 cos (θ)

cot^{2} (θ) - 1 = csc^{2} (θ)

sec (4 x) - sec (2 x) = 2

- cos (x) = 1

cot (x) sin (x) - sin (x) = 0

What is the general solution for cos(A)= 8/15 ?
The general solution for cos(A)= 8/15 is A=1.00826…+2pin,A=2pi-1.00826…+2pin