What is the general solution for sin(x)=(2.5)/3 ?

The general solution for sin(x)=(2.5)/3 is x=0.98511…+2pin,x=pi-0.98511…+2pin

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sin(x)=(2.5)/3

sin (x) = \frac{2.5}{3}

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

Degrees

x = 56.44269 \dots^{\circ} + 36 0^{\circ} n, x = 123.55730 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{2.5}{3}

Apply trig inverse properties

sin (x) = \frac{2.5}{3}

General solutions for

sin (x) = \frac{2.5}{3}

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

x = arcsin (\frac{2.5}{3}) + 2 πn, x = π - arcsin (\frac{2.5}{3}) + 2 πn

x = arcsin (\frac{2.5}{3}) + 2 πn, x = π - arcsin (\frac{2.5}{3}) + 2 πn

Show solutions in decimal form

x = 0.98511 \dots + 2 πn, x = π - 0.98511 \dots + 2 πn

tan (θ) + cot (θ) = 1

sin (θ) = - \frac{1}{2}, 0 \leq θ < 2 π

tan (x) = 3 + 2

tan (2 x) = (\frac{( 300 )}{200 - ( - 400 )} \cdot 2)

cos (2 x) = 0.37

What is the general solution for sin(x)=(2.5)/3 ?
The general solution for sin(x)=(2.5)/3 is x=0.98511…+2pin,x=pi-0.98511…+2pin