11th maths chapter 2
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its simple :D
Simple
Step-by-step explanation:
solve L.H.S first
(tan∅+1/cos²∅)²+(tan∅-1/cos∅)²
=tan²∅+1/cos²∅+ 2tan∅/cos∅+tan²∅+1/cos²∅-2tan∅
2tan∅ and -2tan∅ will get cancelled
=2tan²∅ + 2/cos²∅
taking 2 as common we get
=2(tan²∅ + 1/cos²∅)
now tan²∅ can be written as sin²∅/cos²∅ [identity]
=2(sin²∅/cos²∅ + 1/cos²∅)
taking L.C.M as cos²∅ we get
=2(sin²∅ +1/cos²∅)
now cos²∅ can be written as 1-sin²∅ [identity]
=2(sin²∅ +1/1 -sin²∅)
LHS=RHS
∴Proved
thx
Hope you understood it :D pls vote if u like it
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