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 = 134.76508 \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 tan^{2} (x) - 3 tan (x) + 1 = 0

tan (x) = \frac{8}{6}

sin (4 x) + cos (4 x) = 0

cos (x) sin (x) - sin (x) = 0

sin (x) = \frac{π}{2}

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