mac1147_lecture27_1_c

# mac1147_lecture27_1_c - 324 L27 Trigonometric Identities...

This preview shows pages 1–7. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 324 L27 Trigonometric Identities; Sum and Difference Formulas; Double-angle and Half-angle Formulas Basic Trigonometric Identities Quotient Identities : sin tan cos θ θ θ = cos cot sin θ θ θ = Reciprocal Identities : 1 csc sin θ θ = 1 sec cos θ θ = 1 cot tan θ θ = Pythagorean Identities : 2 2 sin cos 1 θ θ + = 2 2 tan 1 sec θ θ + = 2 2 cot 1 csc θ θ + = 325 Example : Use algebraic technique and the basic trigonometric identities to simplify. ( ) 2 2 cot 1 tan θ θ + = 2 2 cos sin sin cos θ θ θ θ − = 2 2 1 t a n 1 c o t θ θ + = + ( ) tan sec θ θ − = 326 Example : Perform the operations and simplify. cos sin sin 1 cos θ θ θ θ + = + ( ) 2 1 t a n 2 t a n α α + − = 2 1 cot tan tan α α α + = 2 csc 1 t − = 327 Example : Factor: 3 3 sin cos θ θ − = 2 2sin 3sin 1 α α + + = 328 Example : Verify the trigonometric identities. 1 sec tan sec tan α α α α = + − 2 sin sec cos cos β β β β = − 329 4 4 2 sin cos 2sin 1 θ θ θ − = − cos sec tan 1 s i n β β β β = + − 330...
View Full Document

{[ snackBarMessage ]}

### Page1 / 18

mac1147_lecture27_1_c - 324 L27 Trigonometric Identities...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online