What is the general solution for sin(θ)=-0.8062 ?

The general solution for sin(θ)=-0.8062 is θ=-0.93770…+2pin,θ=pi+0.93770…+2pin

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sin(θ)=-0.8062

sin (θ) = - 0.8062

θ = - 0.93770 \dots + 2 πn, θ = π + 0.93770 \dots + 2 πn

Degrees

θ = - 53.72630 \dots^{\circ} + 36 0^{\circ} n, θ = 233.72630 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.8062

Apply trig inverse properties

sin (θ) = - 0.8062

General solutions for

sin (θ) = - 0.8062

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

θ = arcsin (- 0.8062) + 2 πn, θ = π + arcsin (0.8062) + 2 πn

θ = arcsin (- 0.8062) + 2 πn, θ = π + arcsin (0.8062) + 2 πn

Show solutions in decimal form

θ = - 0.93770 \dots + 2 πn, θ = π + 0.93770 \dots + 2 πn

25 cot^{2} (x) - 1 = 0

\frac{3}{2} = - \frac{1}{2} \cdot sin (θ)

sin (θ) = 0.27, 0 \leq θ < 2 π

tan (x) = 0.96

tan (x) = 0.87

What is the general solution for sin(θ)=-0.8062 ?
The general solution for sin(θ)=-0.8062 is θ=-0.93770…+2pin,θ=pi+0.93770…+2pin