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tan10*cot(90-10)*tan15*cot(90-15)=1supplementary angle
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Hi ,
We know that ,
1 ) Cot A × tanA = 1
2 ) tan ( 90 - A ) = cotA
Now ,
LHS = tan10tan15tan75tan80
= tan(90-80 ) tan( 90 - 75 )tan75tan80
= Cot80cot75tan75tan80
= ( Cot80tan80 ) ( cot75tan75 )
= 1 × 1
= 1
= RHS
I hope this helps you.
:)
We know that ,
1 ) Cot A × tanA = 1
2 ) tan ( 90 - A ) = cotA
Now ,
LHS = tan10tan15tan75tan80
= tan(90-80 ) tan( 90 - 75 )tan75tan80
= Cot80cot75tan75tan80
= ( Cot80tan80 ) ( cot75tan75 )
= 1 × 1
= 1
= RHS
I hope this helps you.
:)
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