If cos(a+b)=0 and cot(a-b)=root3
Find
I) secA.tanB- cotA.sinB
Ii)codecs.cotB-sinA.tanB
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Hey there,
ATQ,
cos (A + B) = 0
A + B = 90° .....(1)
Also,cot (A - B) = √3
A - B = 30° .....(2)
Using equation (1) & (2), we have
A + B = 90
A - B = 30
_________
2 A = 120
A = 60
then,
B = 30
Now,
I) secA tanB - cotA sinB
= sec 60 tan 30 - cot 60 sin 30
= 2 × 1/√3 - 1/√3 × 1/2
= 2/√3 - 1/2√3
= (4 - 1)/2√3
= 3/2√3
= √3/2
Similarly second part also
Hope it helps you
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