What is the general solution for sin(a)= 20/25 ?

The general solution for sin(a)= 20/25 is a=0.92729…+2pin,a=pi-0.92729…+2pin

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sin(a)= 20/25

sin (a) = \frac{20}{25}

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

Degrees

a = 53.13010 \dots^{\circ} + 36 0^{\circ} n, a = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{20}{25}

Cancel the common factor:

5

sin (a) = \frac{4}{5}

Apply trig inverse properties

sin (a) = \frac{4}{5}

General solutions for

sin (a) = \frac{4}{5}

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

a = arcsin (\frac{4}{5}) + 2 πn, a = π - arcsin (\frac{4}{5}) + 2 πn

a = arcsin (\frac{4}{5}) + 2 πn, a = π - arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

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

1 + cos (x) = 3 - sin (x)

3 = 7 cos (\frac{π}{3} t)

cos^{2} (2 x) = cos (4 x)

θ, tan (2 θ) = - 1

3 cos (z + 1.2) = 2

What is the general solution for sin(a)= 20/25 ?
The general solution for sin(a)= 20/25 is a=0.92729…+2pin,a=pi-0.92729…+2pin