CHAPTER 5. ANALYTIC TRIGONOMETRY. 5.1 Verifying Trigonometric Identities. Objectives Use the fundamental trigonometric identities to verify identities. Fundamental Identities. Reciprocal identities csc x = 1/sin x sec x = 1/cos x cot x = 1/tan x Quotient identities
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csc x = 1/sin x sec x = 1/cos x cot x = 1/tan x
tan x = (sin x)/(cos x) cot x = (cos x)/(sin x)
sin(-x)= - sin x cos(-x) = cos x
tan(-x)= - tan x cot(-x) = - cot x
sec(-x)= sec x csc(-x) = - csc x