What is the general solution for sin(B)= 4/5 ?

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

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sin(B)= 4/5

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

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

Solution steps

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

Apply trig inverse properties

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

Show solutions in decimal form

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

cos (2 x) = - 3 cos (x) - 2, 0 < x \leq 2 π

cos (θ) = - \frac{7}{6}

csc (θ) = 5, sin (θ) = x

tan (θ) = 0.6

tan (θ) = 0.9

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