Question

If tan a = V3 and tan B = 1/13, where 0°<a, B < 90°, find the value of cot (a - b).​

Answer 1

Step-by-step explanation:

ANSWER

Given tan(A+B)=

3

⟹A+B=60

∘

⋯(1)

tan(A−B)=

3

1

⟹A−B=30

∘

⋯(2)

(1)+(2)⟹2A=90

∘

⟹A=45

∘

Put A value in (1)

⟹B=60

∘

−45

∘

=15

∘