Find the value of cos (A+B) for A terminating in quadrant III and B terminating in quadrant IV where sin A= -1/3 and cos B= 2/5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 82E
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Can you help me to my problem the formula in the photo thank you. Question: Find the value of cos (A+B) for A terminating in quadrant III and B terminating in quadrant IV where sin A= -1/3 and cos B= 2/5.
STANDARD SIGNS OF THE TRIGONOMETRIC FUNCTIONS IN THE FOUR QUADRANTS
All six trigonometric functions are positive in quadrant I. Only sine and its reciprocal are positive
in quadrant II. Only tangent and its reciprocal are positive in quadrant III. And only cosine and its
reciprocal are positive in quadrant IV.
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Transcribed Image Text:STANDARD SIGNS OF THE TRIGONOMETRIC FUNCTIONS IN THE FOUR QUADRANTS All six trigonometric functions are positive in quadrant I. Only sine and its reciprocal are positive in quadrant II. Only tangent and its reciprocal are positive in quadrant III. And only cosine and its reciprocal are positive in quadrant IV. Quadrant I Quadrant II Quadrant III Quadrant IV
Other Trigonometric Functions
Sin (A + B) = Sin A cos B + Sin B cos A
Sin (A- B) = Sin A Cos B - sinB cos A
ios (A + B) = cos A Cos B - sin A Sin B
Cas (A-B) = cos A Cos B + sin A sin B
Sin 20 = 2 sin & Cas &
Cos 24 = Ces* - Sin+
Tan A + Tan B
Tun (A+ B) =
|- Tan A Tan B
2 Tant
Tan 2+ =
|- Tan' 4
Transcribed Image Text:Other Trigonometric Functions Sin (A + B) = Sin A cos B + Sin B cos A Sin (A- B) = Sin A Cos B - sinB cos A ios (A + B) = cos A Cos B - sin A Sin B Cas (A-B) = cos A Cos B + sin A sin B Sin 20 = 2 sin & Cas & Cos 24 = Ces* - Sin+ Tan A + Tan B Tun (A+ B) = |- Tan A Tan B 2 Tant Tan 2+ = |- Tan' 4
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