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if A,B ARE ANGLES IN THE FIRST QUADRANT,COSA =5/13 , SINB=4/5 FIND SIN(A-B)

lekha , 7 Years ago
Grade 9
anser 1 Answers
Prasenjit Maitra

Last Activity: 7 Years ago

First find SINA from COSA & COSB fromSINB
SINA=√(1-COS²A)=√(1-(5/13)²)=12/13
COSB=√(1-SIN²B)=√(1-(4/5)²)=3/5
SIN(A-B)=SINACOSB-COSASINB=(12/13 * 3/5) – (5/13 * 4/5) = 16/65

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