Question

If tan (A-B) 1/√3= and tan (A + B) = 1, find A.

Answer 1

Answer:

37.5 = A

Step-by-step explanation:

tan (A - B) =  $\frac{1}{\sqrt{3\\} }$

tan 30 =  $\frac{1}{\sqrt{3\\} }$

∴ A - B = 30 -------------------------- 1

Now,

tan (A + B) = 1

tan 45 = 1

∴ A + B = 45 --------------------------- 2

From 1,

A = B + 30

From 2,

A = 45 - B

Now,

B + 30 = 45 - B

2B = 15

B = 7.5

Using B = 7.5 in 1 gives,

A - 7.5 =30

A = 37.5

Answer 2

Answer:

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Step-by-step explanation:

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