What is the general solution for sin(θ)+0.755=0 ?

The general solution for sin(θ)+0.755=0 is θ=-0.85565…+2pin,θ=pi+0.85565…+2pin

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sin(θ)+0.755=0

sin (θ) + 0.755 = 0

θ = - 0.85565 \dots + 2 πn, θ = π + 0.85565 \dots + 2 πn

Solution steps

sin (θ) + 0.755 = 0

Move

0.755

to the right side

sin (θ) = - 0.755

Apply trig inverse properties

θ = arcsin (- 0.755) + 2 πn, θ = π + arcsin (0.755) + 2 πn

Show solutions in decimal form

θ = - 0.85565 \dots + 2 πn, θ = π + 0.85565 \dots + 2 πn

- 4 cos^{2} (x) + 42 sin (x) + 6 = 0

sin (2 x - 1 0^{\circ}) = 0.4

\frac{1}{sin ^{2} ( x )} = 4

- 6 cos^{2} (θ) - 9 cos (θ) - 7 = 8 cos (θ)

θ, 1 + cos (θ) = 1 - sin (θ)

What is the general solution for sin(θ)+0.755=0 ?
The general solution for sin(θ)+0.755=0 is θ=-0.85565…+2pin,θ=pi+0.85565…+2pin