What is the general solution for sin(θ)=-0.789 ?

The general solution for sin(θ)=-0.789 is θ=-0.90917…+2pin,θ=pi+0.90917…+2pin

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sin(θ)=-0.789

sin (θ) = - 0.789

θ = - 0.90917 \dots + 2 πn, θ = π + 0.90917 \dots + 2 πn

Degrees

θ = - 52.09215 \dots^{\circ} + 36 0^{\circ} n, θ = 232.09215 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.789

Apply trig inverse properties

sin (θ) = - 0.789

General solutions for

sin (θ) = - 0.789

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

θ = arcsin (- 0.789) + 2 πn, θ = π + arcsin (0.789) + 2 πn

θ = arcsin (- 0.789) + 2 πn, θ = π + arcsin (0.789) + 2 πn

Show solutions in decimal form

θ = - 0.90917 \dots + 2 πn, θ = π + 0.90917 \dots + 2 πn

\frac{1}{2} \cdot cos (a) = 0

94. 5^{2} = 6 0^{2} + 5 0^{2} + 6000 cos (θ)

cos (a) = 5

sin (7 x) - sin (x) = 0

2 cos (θ) + 5 = 4

What is the general solution for sin(θ)=-0.789 ?
The general solution for sin(θ)=-0.789 is θ=-0.90917…+2pin,θ=pi+0.90917…+2pin