What is the general solution for sin(x)= 64/80 ?

The general solution for sin(x)= 64/80 is x=0.92729…+2pin,x=pi-0.92729…+2pin

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sin(x)= 64/80

sin (x) = \frac{64}{80}

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

Solution steps

sin (x) = \frac{64}{80}

Cancel the common factor:

16

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

Apply trig inverse properties

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

3 sec (θ) - 7 = 0

cos (θ) (cos (θ) - 2) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

sin (3 9^{\circ}) + sin (2 1^{\circ}) = sin (a^{\circ})

arctan (4 x - 4) = - 1

tan^{2} (x + \frac{π}{6}) = 3

What is the general solution for sin(x)= 64/80 ?
The general solution for sin(x)= 64/80 is x=0.92729…+2pin,x=pi-0.92729…+2pin