What is the general solution for solvefor x,sin(x)= 4/5 ?

The general solution for solvefor x,sin(x)= 4/5 is x=0.92729…+2pin,x=pi-0.92729…+2pin

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solvefor x,sin(x)= 4/5

solve for

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

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

Solution steps

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

tan (x) = \frac{- 25}{\frac{- 80 - 50}{2}}

4 cos^{2} (A) - 3 = 0

\frac{sin ( 4 2 ^{\circ} )}{6.25} = \frac{sin ( x )}{9}

\frac{tan ( x ) + cot ( x )}{csc ( x )} = cos (x)

tan (θ) = - \frac{3}{7}

What is the general solution for solvefor x,sin(x)= 4/5 ?
The general solution for solvefor x,sin(x)= 4/5 is x=0.92729…+2pin,x=pi-0.92729…+2pin