# Find the principal solution of cotx = -√3 ============================================= Prove that tan56 =

2
by shivam2000

## Answers

• Brainly User
2015-05-17T18:35:31+05:30

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I hope u will satisfy with my ans
2015-05-18T21:13:17+05:30
cos(a-b) = cos(a)cos(b) + sin(a) sin(b)
cos 11 = cos (56-45) = cos 56 cos 45 + sin 56 sin 45 = cos 56 / √2 + sin 56/√2
sin(a-b) = sin(a) cos(b) - cos(a) sin(b)
sin 11 = sin(56-45) = sin 56 cos 45 - cos 56 sin 45 = sin 56 /√2 - cos 56 / √2

cos 11 + sin 11 = cos 56 / √2 + sin 56/√2 + sin 56 /√2 - cos 56 / √2
cos 11 + sin 11 = (2/√2) sin 56
cos 11 - sin 11 = cos 56 / √2 + sin 56/√2 - sin 56 /√2 + cos 56 / √2
cos 11 - sin 11 = (2/√2) cos 56

(cos 11 + sin 11)/(cos 11 - sin 11) = (2/√2) sin 56 / (2/√2) cos 56
= tan 56