)tiny-tim said:Hi thereddevils!
(have a square-root: √ and try using the X2 tag just above the Reply box
Hint: C = 1/2 sin-1 20/29 is the same as sin2C = 20/29
A trigonometric equation is an equation that involves trigonometric functions, such as sine, cosine, and tangent. These equations are used to solve for unknown angles or sides in a triangle.
To solve a trigonometric equation, you need to isolate the trigonometric function on one side of the equation and use inverse trigonometric functions to solve for the unknown angle or side. You can also use trigonometric identities and algebraic manipulations to simplify the equation before solving.
Some common trigonometric identities used in solving equations include the Pythagorean identities, double angle identities, and half angle identities. These identities allow us to simplify trigonometric expressions and equations, making them easier to solve.
Extraneous solutions are solutions that satisfy the equation, but do not actually correspond to the original problem. In trigonometric equations, extraneous solutions often occur when we take the inverse trigonometric function of both sides of the equation, resulting in additional solutions that do not work in the original problem.
Solving trigonometric equations is used in a variety of fields, including engineering, physics, and navigation. It can help us determine the length of a missing side or angle in a triangle, as well as solve real-world problems involving angles and distances.