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8.3 Trigonometric Integrals. Trig Identities. Product-to-Sum identities. Basic identities. Half-angle identities. Examples. Strategy.

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slide1

8.3

Trigonometric Integrals

product to sum identities

Trig Identities

Product-to-Sum identities

Basic identities

Half-angle identities

slide4

Strategy

  • If one of the power is odd, save one sine (or cosine) factor, and express the remaining expression in terms of cosine (or sine). Then use substitution.
  • If both powers are even, use half-angle identities to reduce the powers
  • If power of secant is even, save a factor of sec2xand express the remaining expression in terms of tan x. Then use substitution.
  • If power of tangent is odd, save a factor of (sec x tan x) and express the remaining expression in terms of sec x. Then use substitution.
  • Use product-to-sum identities.