What is the general solution for sin(a)= 5/6 ?

The general solution for sin(a)= 5/6 is a=0.98511…+2pin,a=pi-0.98511…+2pin

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sin(a)= 5/6

sin (a) = \frac{5}{6}

a = 0.98511 \dots + 2 πn, a = π - 0.98511 \dots + 2 πn

Degrees

a = 56.44269 \dots^{\circ} + 36 0^{\circ} n, a = 123.55730 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{5}{6}

Apply trig inverse properties

sin (a) = \frac{5}{6}

General solutions for

sin (a) = \frac{5}{6}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

a = arcsin (\frac{5}{6}) + 2 πn, a = π - arcsin (\frac{5}{6}) + 2 πn

a = arcsin (\frac{5}{6}) + 2 πn, a = π - arcsin (\frac{5}{6}) + 2 πn

Show solutions in decimal form

a = 0.98511 \dots + 2 πn, a = π - 0.98511 \dots + 2 πn

2 sin^{2} (x) cos (x) = cos (x)

cos (2 θ) + sin (θ) + 2 = 0

cos (x) = \frac{10}{50}

- 7 tan (x) + 3 = - 3 (3 + tan (x))

csc^{2} (x) + 3 cot^{2} (x) = 1

What is the general solution for sin(a)= 5/6 ?
The general solution for sin(a)= 5/6 is a=0.98511…+2pin,a=pi-0.98511…+2pin