simplify if teta =30 degree verify that cos 2 teta = 1-tan square teta / 1 - tan square teta
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Answer:
Let Theta be denoted by symbol 'A'
=> A = 30°
=> Cos 2A = ( 1 - Tan²A ) / ( 1 + Tan²A )
=> Cos 2 ( 30 ) = [ 1 - ( Tan 30 )² ] / [ 1 + ( Tan 30 )² ]
LHS = Cos 60 = 1 / 2
RHS :
=> [ 1 - ( 1 / 3 ) ] / [ 1 + ( 1 / 3 ) ]
=> [ 3 - 1 / 2 ] / [ 3 + 1 / 2 ]
=> [ 2 / 2 ] / [ 4 / 2 ]
=> [ 1 ] / [ 2 ]
Hence LHS = RHS
Hence Verified !
Answered by
0
Answer:
Step-by-step explanation:
Let Theta be denoted by symbol 'B'
=> B = 30°
=> Cos 2B = ( 1 - Tan²B ) / ( 1 + Tan²B )
=> Cos 2 ( 30 ) = [ 1 - ( Tan 30 )² ] / [ 1 + ( Tan 30 )² ]
LHS = Cos 60 = 1 / 2
RHS :
=> [ 1 - ( 1 / 3 ) ] / [ 1 + ( 1 / 3 ) ]
=> [ 3 - 1 / 2 ] / [ 3 + 1 / 2 ]
=> [ 2 / 2 ] / [ 4 / 2 ]
=> [ 1 ] / [ 2 ]
Hence LHS = RHS
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