Question

if tan(A+B)=1 and tan(A-B)=1/√3,0°<A+B<90°,A>B, then find the values of A and B.​

Answer 1

Answer:

The values of A and B are 37.5° and 7.5°

Step-by-step explanation:

Given:

tan(A+B)=1 ⇒ A+B=45°

tan(A-B)=1/√3 ⇒ A-B=30°

A+B=45°........(1)

A-B=30°..........(2)

Adding (1) and (2)

2A=75°

A=37.5°

put A=37.5° in (1) we get

B=45° - 37.5°

B=7.5°

Answer 2

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