Question

How does solving algebraic equations compare to solving trigonometric equations?

Answer 1

They both are solved using algebra?

Answer 2

Do you want a contrast in addition to the comparison?
Trigonometric functions are periodic, so it's possible to have an infinite set of periodic solutions.

Answer 3

you know c^2 = a^2 + b^2

you know sin theta = b/c and cos theta =a/c

you (perhaps) know that sin^2 theta + cos^2 theta = 1

From this you can see that they are often 2 sides of the same coin

Answer 4

Oops got this backwards

you know sin theta = a/c and cos theta =b/c