What is the general solution for sin(θ)=-5/8 ?

The general solution for sin(θ)=-5/8 is θ=-0.67513…+2pin,θ=pi+0.67513…+2pin

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sin(θ)=-5/8

sin (θ) = - \frac{5}{8}

θ = - 0.67513 \dots + 2 πn, θ = π + 0.67513 \dots + 2 πn

Solution steps

sin (θ) = - \frac{5}{8}

Apply trig inverse properties

θ = arcsin (- \frac{5}{8}) + 2 πn, θ = π + arcsin (\frac{5}{8}) + 2 πn

Show solutions in decimal form

θ = - 0.67513 \dots + 2 πn, θ = π + 0.67513 \dots + 2 πn

\frac{sin ( θ )}{cos ( θ )} = 1

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

2 sin^{2} (θ) + (2 - 3) sin (θ) - 3 = 0

21 sin (t) cos (t) = - 6 cos (t)

sec (θ) = 4

What is the general solution for sin(θ)=-5/8 ?
The general solution for sin(θ)=-5/8 is θ=-0.67513…+2pin,θ=pi+0.67513…+2pin