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Grade 12Trigonometry

If tan(A-B)=1 and sec(A+B)=(2/√3) find the values of A and B and also their general values

Profile image of B.V.Suhas Sudheendhra
14 Years agoGrade 12
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1 Answer

Profile image of Tanmay Chaudhari
14 Years ago

tan(a-b)=1  means                        sec(a+b)=2/ means

tan(a-b)=tan45 means                   sec(a+b)=sec(30) means

a-b=45 ....(1)                                 a+b=30 ......(2)

solving (1) and (2)

a=37.5 and b=7.5