What is the general solution for sin(θ)=-0.45 ?

The general solution for sin(θ)=-0.45 is θ=-0.46676…+2pin,θ=pi+0.46676…+2pin

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sin(θ)=-0.45

sin (θ) = - 0.45

θ = - 0.46676 \dots + 2 πn, θ = π + 0.46676 \dots + 2 πn

Degrees

θ = - 26.74368 \dots^{\circ} + 36 0^{\circ} n, θ = 206.74368 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.45

Apply trig inverse properties

sin (θ) = - 0.45

General solutions for

sin (θ) = - 0.45

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

θ = arcsin (- 0.45) + 2 πn, θ = π + arcsin (0.45) + 2 πn

θ = arcsin (- 0.45) + 2 πn, θ = π + arcsin (0.45) + 2 πn

Show solutions in decimal form

θ = - 0.46676 \dots + 2 πn, θ = π + 0.46676 \dots + 2 πn

cos (2 x) = - sin (x)

3 cot (t) - 1 = 0, 0 \leq t \leq 2 π

10 cos (c) + 1 = cos (c) - 1

tan (x - \frac{π}{3}) = 1

3 sin (x) + cos (x) = 3

What is the general solution for sin(θ)=-0.45 ?
The general solution for sin(θ)=-0.45 is θ=-0.46676…+2pin,θ=pi+0.46676…+2pin