Trigonometric Ratios of Compound Angles

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Flashcards covering key trigonometric ratios and identities for compound angles.

Last updated 2:09 AM on 4/18/26
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12 Terms

1
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sin(A+B)

sinA cosB + cosA sinB.

2
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sin(A-B)

sinA cosB - cosA sinB.

3
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cos(A+B)

cosA cosB - sinA sinB.

4
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cos(A-B)

cosA cosB + sinA sinB.

5
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tan(A+B)

(tanA + tanB) / (1 - tanA tanB).

6
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tan(A-B)

(tanA - tanB) / (1 + tanA tanB).

7
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cot(A+B)

(cotA + cotB) / (1 - cotA cotB).

8
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cot(A-B)

(cotA cotB +1) / (cotB - cotA).

9
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sin(A+B+C)

sinA cosB cosC + cosA sinB cosC + cosA cosB sinC.

10
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cos(A+B+C)

cosA cosB cosC - sinA sinB cosC - sinA cosB sinC - cosA sinB sinC.

11
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Identity for sin(A+B) sin(A-B)

sin²A - sin²B = cos²B - cos²A.

12
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Identity for cos(A+B) cos(A-B)

cos² A - sin²B = cos² B - sin² A.