Question

if sin(A-B)=1/2,and cos(A+B)=1/2,0<A+B less than equal to 90,A>B then find A and B​

Answer 1

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Answer 2

Answer:

A=45°,B=15°

Step-by-step explanation:

Sin(A-B)=½

or,sin(A-B)=sin30°

Hence, (A-B)=30°..... (1)

cos(A+B)=½

or,(A+B)=cos60°

Hence, (A+B)=60°.........(2)

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.Now adding (1) and (2)....

We get... 2A=90°

Or, A= 45°

Then B = 15°.

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