What is the general solution for sin(w)=0.79 ?

The general solution for sin(w)=0.79 is w=0.91080…+2pin,w=pi-0.91080…+2pin

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sin(w)=0.79

sin (w) = 0.79

w = 0.91080 \dots + 2 πn, w = π - 0.91080 \dots + 2 πn

Degrees

w = 52.18551 \dots^{\circ} + 36 0^{\circ} n, w = 127.81448 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (w) = 0.79

Apply trig inverse properties

sin (w) = 0.79

General solutions for

sin (w) = 0.79

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

w = arcsin (0.79) + 2 πn, w = π - arcsin (0.79) + 2 πn

w = arcsin (0.79) + 2 πn, w = π - arcsin (0.79) + 2 πn

Show solutions in decimal form

w = 0.91080 \dots + 2 πn, w = π - 0.91080 \dots + 2 πn

tan^{2} (x) - tan (x) = 0, [0 \leq x < 2 π]

arcsin (x) = 0.5

cos (θ) = 2 - 3 sin (θ)

sin (2 x) = \frac{( 8 m - 8 )}{8}

sin (θ) = \frac{6}{5}

What is the general solution for sin(w)=0.79 ?
The general solution for sin(w)=0.79 is w=0.91080…+2pin,w=pi-0.91080…+2pin