Week 13 - Trigonometry
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The document discusses trigonometric identities including fundamental identities relating sine, cosine, tangent, cotangent, secant and cosecant. It provides three examples of verifying trigonometric identities: relating secant and sine to tangent; relating tangent and cotangent to their reciprocals plus 1; and relating secant, cosine and sine to tangent.
Week 13 - Trigonometry
- 1. Day 63 1. Trigonometric Identities
- 2. 1. Trigonometric Identities - Fundamental Identities 1 csc x = sin x 1 sec x = cos x 1 cot x = tan x sin x tan x = cos x cos x cot x = sin x 2 2 sin x + cos x = 1 2 2 1+ tan x = sec x 2 2 1+ cot x = csc x
- 3. 2. Examples Verify the identity: secθ sin θ = tan θ
- 4. 2. Examples Verify the identity: 1+ tan x = tan x 1+ cot x
- 5. 2. Examples Verify the identity: sec α − cos α = sin α tan α
Editor's Notes
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