striker7770 said:Homework Statement
(Sin 2θ / sinθ) - (cos 2θ/ cos θ) = Sec θ
just trying to match one side to the other
Homework Equations
all trig identitiesThe Attempt at a Solution
broke down sin2θ into 2sinθ cosθ then reduced the sinθ in the denominator
giving me
sinθ cosθ - cos2θ / cosθ = Secθ
thanks
Trigonometric identities are equations that involve the trigonometric functions of angles. These identities are used to simplify and manipulate trigonometric expressions.
There are three main types of Trigonometric Identities: Pythagorean Identities, Cofunction Identities, and Sum and Difference Identities. Each type has several specific identities within it.
Trigonometric Identities are important because they allow us to solve complex trigonometric equations and simplify expressions. They also have many applications in fields such as physics, engineering, and astronomy.
To prove a Trigonometric Identity, you must use algebraic techniques to manipulate one side of the equation until it is equivalent to the other side. This often involves using the properties of trigonometric functions, such as the reciprocal, quotient, and Pythagorean identities.
Yes, Trigonometric Identities have many real-world applications. For example, they can be used to calculate distances and heights in surveying and navigation, to analyze wave patterns in physics, and to model periodic phenomena in engineering.