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A+B=300°={1+root3 cotA} {1+root3 cotB} =? I want process

A+B=300°={1+root3 cotA} {1+root3 cotB} =? I want process

Grade:9

2 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
7 years ago
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Sahithya varma
15 Points
4 years ago
A + B=300
A +B=(360-60)
multiply cot on both sides 
cot(A + B) =cot(360-60)
cotAcotB-1/cotA +cotB=–cot60
cotAcotB-1/cotA+cotB=–1/root3
root3cotAcotB-root3=–cotA–cotB
root3cotAcotB+cotA+cotB=root3
cotA(1+root3cotB)+cotB=root3
Multiply root3 on both sides 
root3cotA(1+root3cotB)+cotA=(root3)(root3)
(1+root3cotA)(1+root3cotB)=3
 

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