What is the general solution for sin(x)=0.69 ?

The general solution for sin(x)=0.69 is x=0.76148…+2pin,x=pi-0.76148…+2pin

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sin(x)=0.69

sin (x) = 0.69

x = 0.76148 \dots + 2 πn, x = π - 0.76148 \dots + 2 πn

Degrees

x = 43.63010 \dots^{\circ} + 36 0^{\circ} n, x = 136.36989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.69

Apply trig inverse properties

sin (x) = 0.69

General solutions for

sin (x) = 0.69

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

x = arcsin (0.69) + 2 πn, x = π - arcsin (0.69) + 2 πn

x = arcsin (0.69) + 2 πn, x = π - arcsin (0.69) + 2 πn

Show solutions in decimal form

x = 0.76148 \dots + 2 πn, x = π - 0.76148 \dots + 2 πn

4 cos^{2} (x) - 4 = 15 cos (x)

(cos (θ) - 1) sin (θ) = 0

sin (a) = 0

6 cot (θ) - 5 = 0

8 cos (x) - 8 sin (x) = 0

What is the general solution for sin(x)=0.69 ?
The general solution for sin(x)=0.69 is x=0.76148…+2pin,x=pi-0.76148…+2pin