Math, asked by abc1712, 1 year ago

if tan ( A + B) = √3 and tan ( A- B) = 1/√3 find a and b.... Can we cancel tan = tan in this question??

Answers

Answered by Crystall91

Given,

tan(A+B) = √3

we know,

tan60° = √3

So,

A+B = 60...(i)

Now,

tan(A-B) = 1/√3

we know,

tan30° = 1/√3

so,

A- B = 30°.....(ii)

Adding equation i and ii , we get,

2A = 90°

A = 45°

then,

B = 60° - 45°

B =15°

Lol, No we cannot cancel tan = tan. It's not the way. I have solved it. you can ask the doubts if any.

Cheers!

abc1712: u hv equated tan A- B with tan 30 coz they are equal to 1/√3 .... Bt where the tan goes???

Crystall91: The tan doesn't go anywhere!

Crystall91: Look, tan(A-B) = 1/√3 here, (A-B) is the angle whose value lead to 1/√3

abc1712: OK

Crystall91: we know, tan30° = A-B

abc1712: ty so much

Crystall91: So, A-B = 30°

Crystall91: welcome :-)

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