- #1
Dainy
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undefinedundefinedundefinedneed help=====)
(sin2x+sin4x)/(cos2x+cos4x)=tan3x
(sin2x+sin4x)/(cos2x+cos4x)=tan3x
A trigonometric identity is an equation that involves trigonometric functions and is true for all values of the variables in the equation. These identities are used to simplify and manipulate trigonometric expressions.
Deriving trig identities allows us to understand the relationships between different trigonometric functions and to prove the validity of certain equations. It also helps in solving more complex trigonometric equations and simplifying them.
To derive a trig identity, you need to use algebraic manipulations and trigonometric identities to transform one side of the equation to equal the other. This involves using properties such as the Pythagorean identities, sum and difference identities, and double angle identities.
Some common trig identities include the Pythagorean identities (sin²𝜃 + cos²𝜃 = 1), sum and difference identities (sin(𝜃 ± 𝜙) = sin𝜃cos𝜙 ± cos𝜃sin𝜙), and double angle identities (sin2𝜃 = 2sin𝜃cos𝜃).
The best way to remember trig identities is to practice using them and solving problems. It also helps to have a reference sheet or mnemonic devices to help you remember the most commonly used identities. As you continue to use them, they will become more familiar and easier to remember.