Prove : Cot6A - tan2A/Cot6A + Tan2A = Cos8A/Cos4A Prove this Using Trigonometry
Harshwardhan , 7 Years ago
Grade 11
Trigonometry> Prove : Cot6A - tan2A/Cot6A + Tan2A = Cos...
1 Answers
Arun
Last Activity: 7 Years ago
use cotA= 1/tanA
now LHS=
(1−tan2A tan6A)/(1+tan2A tan6A)
now use tanA= sinA/cosA
hence furthur
=(cos6A cos2A− sin6A sin2A)/(cos6A cos2A+ sin6A sin2A)
=[cos(6A+2A)]/[cos(6A-2A)]
= cos8A/cos4A
hence proved
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