A trigonometric identity is an equation that is true for all values of the variables involved. It is used to show a relationship between different trigonometric functions.
To prove a trigonometric identity, you must manipulate one side of the equation using algebraic techniques and trigonometric identities until it matches the other side of the equation.
Some common trigonometric identities include the Pythagorean identities, double angle identities, half angle identities, and sum and difference identities.
Trigonometric identities are useful in simplifying and solving trigonometric equations, as well as in graphing and analyzing trigonometric functions.
Yes, there are several strategies that can be used to prove trigonometric identities, including using the fundamental trigonometric identities, substituting known values, and working with one side of the equation at a time.