cosec 90-a .sin 180-A.cot 360-A/sec 180+A.tan 90+A.sin(-A)=1
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Solution:
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i) cosec(90-A) = secA
ii)sin(180-A) = sinA
iii) cot(360-A) = -cotA
iv)sec(180+A) = -secA
v)tan(90+A) = -cotA
vi) sin(-A) = -sinA
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Now,
LHS=cosec 90-a .sin 180-A.cot 360-A/sec 180+A.tan 90+A.sin(-A)
=[secA*sinA*(-cotA)]/[(-secA*(-cotA)*(-sinA)]
After cancellation, we get
= 1
= RHS
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