What is the general solution for sin(θ)=-0.71 ?

The general solution for sin(θ)=-0.71 is θ=-0.78949…+2pin,θ=pi+0.78949…+2pin

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sin(θ)=-0.71

sin (θ) = - 0.71

θ = - 0.78949 \dots + 2 πn, θ = π + 0.78949 \dots + 2 πn

Degrees

θ = - 45.23491 \dots^{\circ} + 36 0^{\circ} n, θ = 225.23491 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.71

Apply trig inverse properties

sin (θ) = - 0.71

General solutions for

sin (θ) = - 0.71

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

θ = arcsin (- 0.71) + 2 πn, θ = π + arcsin (0.71) + 2 πn

θ = arcsin (- 0.71) + 2 πn, θ = π + arcsin (0.71) + 2 πn

Show solutions in decimal form

θ = - 0.78949 \dots + 2 πn, θ = π + 0.78949 \dots + 2 πn

2 cos (4 x) = 0

tan (2 θ) = \frac{- 1}{1}

cos^{2} (\frac{x}{2}) = \frac{1}{2}

5^{5 - 3 c s c (θ)} = 1

sin (z) = \frac{4}{7}

What is the general solution for sin(θ)=-0.71 ?
The general solution for sin(θ)=-0.71 is θ=-0.78949…+2pin,θ=pi+0.78949…+2pin