Question

if tan A=1/root 3 and tan B=root 3 then find sin A.cos B + cos A.sinB
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Answer 1

Answer:

a=30. b=60

Step-by-step explanation:

sin30.cos60+cos30.sin60

1/2×1/2+√3/2.√3/2

=1/4+3/3

=1

answer is "1"

Answer 2

$\sf \tan A = \frac{1}{ \sqrt{3} } = \tan(30) \\ \\ \sf \tan B = \sqrt{3} = \tan(60) \\ \\ \sf A = 30 \\ \sf B = 60 \\ \\ \sf \sin A . \cos B + \cos A. \sin B \\ \\ \sf \sin30. \cos60 + \cos30 . \sin60 \\ \\ \sf \frac{1}{2} \times \frac{1}{2} + \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} \\ \\ \sf \frac{1}{4} + \frac{3}{4} \\ \\ \sf \frac{3 + 1}{4} = \frac{4}{4} = 1$