What is the general solution for sin(180/2-x)=0.8 ?

The general solution for sin(180/2-x)=0.8 is x=90-2pin-0.92729…,x=-pi+90-2pin+0.92729…

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sin(180/2-x)=0.8

sin (\frac{180}{2} - x) = 0.8

x = 90 - 2 πn - 0.92729 \dots, x = - π + 90 - 2 πn + 0.92729 \dots

Solution steps

sin (\frac{180}{2} - x) = 0.8

Apply trig inverse properties

\frac{180}{2} - x = arcsin (0.8) + 2 πn, \frac{180}{2} - x = π - arcsin (0.8) + 2 πn

Solve

\frac{180}{2} - x = arcsin (0.8) + 2 πn : x = 90 - 2 πn - arcsin (0.8)

Solve

\frac{180}{2} - x = π - arcsin (0.8) + 2 πn : x = - π + 90 - 2 πn + arcsin (0.8)

x = 90 - 2 πn - arcsin (0.8), x = - π + 90 - 2 πn + arcsin (0.8)

Show solutions in decimal form

x = 90 - 2 πn - 0.92729 \dots, x = - π + 90 - 2 πn + 0.92729 \dots

cos (2 x) = \frac{( 7 k - 6 )}{4}

sin^{2} (x) - sin (x) + 1 = 0

sin (θ) = \frac{2 13}{13}

2 tan^{2} (θ) + sec (θ) = 1

0 = 2 cos (3 x)

What is the general solution for sin(180/2-x)=0.8 ?
The general solution for sin(180/2-x)=0.8 is x=90-2pin-0.92729…,x=-pi+90-2pin+0.92729…