What is the general solution for sin(θ)=-7/10 ?

The general solution for sin(θ)=-7/10 is θ=-0.77539…+2pin,θ=pi+0.77539…+2pin

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sin(θ)=-7/10

sin (θ) = - \frac{7}{10}

θ = - 0.77539 \dots + 2 πn, θ = π + 0.77539 \dots + 2 πn

Degrees

θ = - 44.42700 \dots^{\circ} + 36 0^{\circ} n, θ = 224.42700 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{7}{10}

Apply trig inverse properties

sin (θ) = - \frac{7}{10}

General solutions for

sin (θ) = - \frac{7}{10}

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

θ = arcsin (- \frac{7}{10}) + 2 πn, θ = π + arcsin (\frac{7}{10}) + 2 πn

θ = arcsin (- \frac{7}{10}) + 2 πn, θ = π + arcsin (\frac{7}{10}) + 2 πn

Show solutions in decimal form

θ = - 0.77539 \dots + 2 πn, θ = π + 0.77539 \dots + 2 πn

10 cos (2 x) - 3 = 2

sin^{2} (θ) = 9 (cos (- θ) + 1)

sin (30 x) = 202.07

sin (x) - cos^{2} (x) = 0

x, sin (x^{2}) + cos (y^{3}) = - 2

What is the general solution for sin(θ)=-7/10 ?
The general solution for sin(θ)=-7/10 is θ=-0.77539…+2pin,θ=pi+0.77539…+2pin