Question

If A and B are acute angles and sin(A+B)=1, cos(A-B)= √3/4
Find angles A and B
Find tan A and tan B​

Answer 1

Answer:

find angle A and B

find tan A and tan B

Answer 2

Answer:

Hey...

Here is your answer

Step-by-step explanation:

Given, A and B are acute angles

sin(A+B)=1

sin(A+B)=sin90°

A+B=90° [ By left cancellation]

A=90°-B..........(1)

and

cos(A-B)=√3/4

cos(A-B)=√3/2

cos(A-B)=cos60°

A-B=60°. [By left cancellation]

A=60°+B..........(2)

From (1) and (2) ,we get

90°-B = 60°+B

90°-60°=B+B

30°=2B

B=30°/2

B=15°

put value of B=15°in (1)

A=90°-15°

A=75°

therefore A=75°andB=15°

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