What is the general solution for sin(θ)=(1.33)/(2.42) ?

The general solution for sin(θ)=(1.33)/(2.42) is θ=0.58186…+2pin,θ=pi-0.58186…+2pin

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sin(θ)=(1.33)/(2.42)

sin (θ) = \frac{1.33}{2.42}

θ = 0.58186 \dots + 2 πn, θ = π - 0.58186 \dots + 2 πn

Degrees

θ = 33.33866 \dots^{\circ} + 36 0^{\circ} n, θ = 146.66133 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{1.33}{2.42}

Apply trig inverse properties

sin (θ) = \frac{1.33}{2.42}

General solutions for

sin (θ) = \frac{1.33}{2.42}

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

θ = arcsin (\frac{1.33}{2.42}) + 2 πn, θ = π - arcsin (\frac{1.33}{2.42}) + 2 πn

θ = arcsin (\frac{1.33}{2.42}) + 2 πn, θ = π - arcsin (\frac{1.33}{2.42}) + 2 πn

Show solutions in decimal form

θ = 0.58186 \dots + 2 πn, θ = π - 0.58186 \dots + 2 πn

2 tan (x) = 3 - tan^{2} (x), - 2 π \leq, x \leq π

- 25 = (29 cos (x)) \cdot 3.7 - 4.9 \cdot 3. 7^{2}

t, x = 5 (sin (t) + cos (t))

\frac{2}{2} \cdot 3 \cdot cos (x) - \frac{2}{2} \cdot sin (x) = 0

a, sin (a) = 0.5

What is the general solution for sin(θ)=(1.33)/(2.42) ?
The general solution for sin(θ)=(1.33)/(2.42) is θ=0.58186…+2pin,θ=pi-0.58186…+2pin