Solve for o sin(o)=5/6

Problem

sin(o)=5/6

Solution

1. Identify the equation as a basic trigonometric equation where the sine of an angle o is equal to a constant value.

2. Apply the inverse sine function to both sides of the equation to isolate o

o=arcsin(5/6)

3. Determine the general solution for the sine function, which includes the primary angle and its supplement within the unit circle, plus any integer multiple of 2*π

o=arcsin(5/6)+2*π*n

o=π−arcsin(5/6)+2*π*n

4. State the constraint for the integer n which represents any integer value.

n∈ℤ

Final Answer

o=arcsin(5/6)+2*π*n,π−arcsin(5/6)+2*π*n

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