- #1
louie3006
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Homework Statement
verify the identity :
1+sec(-∅)/sin(-∅+tan(-∅) = -csc ∅
Homework Equations
The Attempt at a Solution
1+sec∅/-sin-tan∅ = -csc∅
I don't know where to start from, does anyone have any idea?
louie3006 said:1+sec∅/-sin-tan∅ = -csc∅
I don't know where to start from, does anyone have any idea?
A trigonometric identity is an equation that is true for all values of the variables involved. It can also be thought of as a relationship between different trigonometric functions.
Verifying trigonometric identities is important because it allows us to manipulate and simplify trigonometric expressions, making them easier to work with. It also helps us to understand the relationships between different trigonometric functions.
To verify a trigonometric identity, we use algebraic manipulations and trigonometric identities (such as the Pythagorean identities) to transform one side of the equation into the other side. If both sides are equal, then the identity is verified.
Some common trigonometric identities include the Pythagorean identities (such as sin²𝜃 + cos²𝜃 = 1), the double angle identities (such as sin2𝜃 = 2sin𝜃cos𝜃), and the sum and difference identities (such as sin(𝜃 ± 𝜙) = sin𝜃cos𝜙 ± cos𝜃sin𝜙).
Memorizing trigonometric identities can save time when solving problems, as it eliminates the need to constantly look up the identities. It also helps with understanding the relationships between different trigonometric functions, making it easier to manipulate and solve equations involving them.