sec^ 6 ∅= tan ^ 6 ∅+3 tan² ∅· sec²∅+ 1
Terdweryiu2003:
this is a trigonometrical identity
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Hey !!!
sec^6¢ = ( 1 + tan²¢ )^³
•°• sec²¢ = 1 + tan²¢
we know that ,
(a + b )³ = a³ + b³ + 3ab ( a + b )
like that ,
{1 + tan²¢ )³ = 1³+( tan²¢)² + 3×tan²¢*1 ( 1 + tan²¢ )
1 + tan^6¢
{( 1 + tan^6¢ + 3tan²¢ (sec²¢ ) }
1 + tan^6¢ + 3tan²¢ sec²¢
tan^6¢+ 3tan²¢ sec²¢ + 1 RHS prooved
______________________
Hope it helps you !!
@Rajukumar111
sec^6¢ = ( 1 + tan²¢ )^³
•°• sec²¢ = 1 + tan²¢
we know that ,
(a + b )³ = a³ + b³ + 3ab ( a + b )
like that ,
{1 + tan²¢ )³ = 1³+( tan²¢)² + 3×tan²¢*1 ( 1 + tan²¢ )
1 + tan^6¢
{( 1 + tan^6¢ + 3tan²¢ (sec²¢ ) }
1 + tan^6¢ + 3tan²¢ sec²¢
tan^6¢+ 3tan²¢ sec²¢ + 1 RHS prooved
______________________
Hope it helps you !!
@Rajukumar111
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0
Please help me to become brainlist and I hope that you will understand easily
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