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Lecture 11

# MTH 108 Lecture 11: 6.4 Trigonometric Identities Notes Premium

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School
Department
Mathematics
Course
MTH 108
Professor
Lun- Yi Tsai
Semester
Fall

Description
MTH 108 Precalculus Mathematics II 6.4 Trigonometric Identities Notes L. Sterling Abstract Provide a generalization to each of the key terms listed in this section. f(x) and g(x) What’s the diﬀerence between “identically equal” and “conditional equa- tions”? Identically Equal This occurs when you have f(x) = g(x) for every single x-value. Conditional Equations These are equations that aren’t identity. Quotient Identities Common Identities sin ▯ tan ▯ =cos ▯ cos ▯ cot ▯ = sin ▯ All Trigonometric Quotient Identities 1 sin(x) = csc(x) cos(x) = 1 sec(x) 1 sin(x) tan(x) = cot(x)= cos(x) 1 csc(x) = sin(x) sec(x) = 1 cos(x) 1 cos(x) cot(x) =tan(x) = sin(x) 1 Uncommon Identities ▯ ▯ sin ▯ = sin ▯ ▯ cos= cos ▯ sin ▯ = cos ▯ ▯ tan ▯ cos ▯ cos ▯ ! sin ▯ ▯ cos ▯ sin ▯ sin ▯ cos ▯ = sin ▯ = sin ▯ = tan ▯ cos ▯ cos ▯ ▯ sin ▯ cos ▯ cos ▯ sin ▯
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