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Proving Identities with Compound Angle Formulae

In this video, the speaker demonstrates how to prove that cot y equals sec x plus tan x, given that sine of y equals cos of x plus y. To begin, the speaker notes that the compound angle formula can be used because the cosine function has x and y in it. The speaker then uses the formula for cosine x plus y, substituting it into the equation to begin simplifying it. The speaker divides everything by sine y and brings out the cot y term. Then, they divide everything by cos x, bringing out the sec x and tan x terms. The final step involves rearranging the terms to achieve the desired equation. The speaker concludes that practice is key to mastering this type of problem.

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