What is the general solution for sin(x)= 16/20 ?

The general solution for sin(x)= 16/20 is x=0.92729…+2pin,x=pi-0.92729…+2pin

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sin(x)= 16/20

sin (x) = \frac{16}{20}

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

Degrees

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

Solution steps

sin (x) = \frac{16}{20}

Cancel the common factor:

4

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

tan (\frac{π}{4} + x) = 2 + 3

3 cos (x) = 2 sin (x)

2 cos^{2} (θ) - cos (θ) = 1, 0 \leq θ \leq 2 π

tan (x) - 3 = 0, 0 \leq x \leq 2 π

1 = tan (0 + c)

What is the general solution for sin(x)= 16/20 ?
The general solution for sin(x)= 16/20 is x=0.92729…+2pin,x=pi-0.92729…+2pin