What is the general solution for sin(θ)=-0.66 ?

The general solution for sin(θ)=-0.66 is θ=-0.72081…+2pin,θ=pi+0.72081…+2pin

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sin(θ)=-0.66

sin (θ) = - 0.66

θ = - 0.72081 \dots + 2 πn, θ = π + 0.72081 \dots + 2 πn

Degrees

θ = - 41.29987 \dots^{\circ} + 36 0^{\circ} n, θ = 221.29987 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.66

Apply trig inverse properties

sin (θ) = - 0.66

General solutions for

sin (θ) = - 0.66

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

θ = arcsin (- 0.66) + 2 πn, θ = π + arcsin (0.66) + 2 πn

θ = arcsin (- 0.66) + 2 πn, θ = π + arcsin (0.66) + 2 πn

Show solutions in decimal form

θ = - 0.72081 \dots + 2 πn, θ = π + 0.72081 \dots + 2 πn

4 sec^{2} (θ) tan (θ) = 8 tan (θ)

5 sec (x) csc (x) = 10 csc (x)

cos (x) = 1 - sin (x)

2 sin (2 θ) = cos (2 θ), 0 \leq θ \leq 2 π

tan (4 x) - 1 = 0

What is the general solution for sin(θ)=-0.66 ?
The general solution for sin(θ)=-0.66 is θ=-0.72081…+2pin,θ=pi+0.72081…+2pin