What is the general solution for sin(θ)= 45/53 ?

The general solution for sin(θ)= 45/53 is θ=1.01419…+2pin,θ=pi-1.01419…+2pin

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sin(θ)= 45/53

sin (θ) = \frac{45}{53}

θ = 1.01419 \dots + 2 πn, θ = π - 1.01419 \dots + 2 πn

Degrees

θ = 58.10920 \dots^{\circ} + 36 0^{\circ} n, θ = 121.89079 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{45}{53}

Apply trig inverse properties

sin (θ) = \frac{45}{53}

General solutions for

sin (θ) = \frac{45}{53}

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

θ = arcsin (\frac{45}{53}) + 2 πn, θ = π - arcsin (\frac{45}{53}) + 2 πn

θ = arcsin (\frac{45}{53}) + 2 πn, θ = π - arcsin (\frac{45}{53}) + 2 πn

Show solutions in decimal form

θ = 1.01419 \dots + 2 πn, θ = π - 1.01419 \dots + 2 πn

2 - sin^{2} (θ) + 2 sin (θ) = 0

tan (θ) = \frac{37.3}{36.46}

sin (θ) cos (θ) = csc (θ) sec (θ)

a, x = cos (a)

sin (\frac{1}{2} \cdot k \cdot r (1 + \frac{a ^{2}}{r ^{2}}) - 1) = π

What is the general solution for sin(θ)= 45/53 ?
The general solution for sin(θ)= 45/53 is θ=1.01419…+2pin,θ=pi-1.01419…+2pin