What is the general solution for sin(x)=0.7392 ?

The general solution for sin(x)=0.7392 is x=0.83188…+2pin,x=pi-0.83188…+2pin

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sin(x)=0.7392

sin (x) = 0.7392

x = 0.83188 \dots + 2 πn, x = π - 0.83188 \dots + 2 πn

Degrees

x = 47.66331 \dots^{\circ} + 36 0^{\circ} n, x = 132.33668 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.7392

Apply trig inverse properties

sin (x) = 0.7392

General solutions for

sin (x) = 0.7392

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

x = arcsin (0.7392) + 2 πn, x = π - arcsin (0.7392) + 2 πn

x = arcsin (0.7392) + 2 πn, x = π - arcsin (0.7392) + 2 πn

Show solutions in decimal form

x = 0.83188 \dots + 2 πn, x = π - 0.83188 \dots + 2 πn

sin (2 x) sec (x) + 2 cos (x) = 0

3 + 2 sin (x) = 0

tan (x) = \frac{6}{4}

cot (x) sin^{2} (x) = 4 cot (x)

x, sin (x) + cos (y) = sin (x) cos (y)

What is the general solution for sin(x)=0.7392 ?
The general solution for sin(x)=0.7392 is x=0.83188…+2pin,x=pi-0.83188…+2pin