Solve the equation for an exact solution.

Sin(^-1) 4x + Cos (^-1)x = (pi/6)

note (^-1) indicates it's an inverse. Thank you

Look at the graph and try using Newton's method by staying in the domain of x as an initial guess.



Try an initial guess of, say, -.24

It should then converge on the exact value.

Looking at the graph, we can see we can not go less than x=-.25

By taking the derivative, we can see the slope approaches infinity as x closes in on -.25 and .25.

Therefore, the value is a little more than -.25. Around -.24