Unable to solve using vpasolve

My equation is sin(A)-sin(1.62)*exp(-(2*pi+A-1.62)/18.85.

I write it and use 'vpasolve' to find the solutions.

Unfortunately, it doesn't give me the right ans Equation at Slide 23

How can I get the solution I want.

Code:

syms A
vpasolve(sin(A)-sin(1.62)*exp(-(2*pi+A-1.62)/18.85) == 0,A,3)

Answer 1

[Walter Roberson]

syms A
eqn = sin(A)-sin(1.62)*exp(-(2*pi+A-1.62)/18.85)

eqn = 

vpasolve(eqn == 0,A,1)

ans = 

0.84178630519911388705537692607065

fplot(eqn, [-10 10])

There are multiple roots.

There is a lower bound around -4.663 with a second root around -4.656. There is, however, no upper bound.