Question

if tan ( A + B ) = √3 and tan ( A- B ) = 1/√3 O<A+B≤90 , A>B , find A and B​

Answer 1

Answer:

Step-by-step explanation:

✓3,✓1

Answer 2

Answer:

a=45°

b=15°

Step-by-step explanation:

tan(a+b)=√3

we know that tan60°=√3

by comparison we can say that

a+b=60.......eq1

tan(a-b)= 1/√3

we know that tan30°=1/√3

by comparison we can say that

a-b=30........eq2

add EQ 1 and 2

2a=60+30

=90°

a=90/2

=45°

put value of a in eq 1

a+b=60

b=60-45

b=15°

Ans :a=45°

b=15°

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