if A =30 verify that cos2A =1-tan square A/1+tan square A
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Answered by
47
Hope it helps uh dear friend ✌️✌️✌️
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anchal134:
can you plz solve it by variables only...
Answered by
20
Hey user !!
Here is your answer !!
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♦♦ Given -> A=30°
♦♦ Proof ->Cos2A=1-Tan^2A/1+Tan^2A
LHS -
Cos2A=Cos60°=1/2
RHS -
(TanA=1/√3)
1-(1/√3)^2 / 1 + (1/√3)^2
1-1/3/1+1/3
By taking LCM
(2/3)/(4/3)
1/2
Hence LHS =RHS
Proved!!
Hope it is satisfactory :-)
_____________________________________
Here is your answer !!
__________________________________________
♦♦ Given -> A=30°
♦♦ Proof ->Cos2A=1-Tan^2A/1+Tan^2A
LHS -
Cos2A=Cos60°=1/2
RHS -
(TanA=1/√3)
1-(1/√3)^2 / 1 + (1/√3)^2
1-1/3/1+1/3
By taking LCM
(2/3)/(4/3)
1/2
Hence LHS =RHS
Proved!!
Hope it is satisfactory :-)
_____________________________________
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