✓(sec^2 x)+(cosec^2x)=tan x + cot x prove it
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ManojKumar93:
thank you very much
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Hi ,
LHS = √ ( sec² x + cosec² x )
= √ ( 1 + tan² x ) + ( 1 + cot² x)
= √( tan² x + cot² x + 2 )
= √ ( tan² x + cot² x + 2tanx cotx )
= √ ( tanx + cotx )²
= Tanx + cotx
= RHS
I hope this helps you.
: )
LHS = √ ( sec² x + cosec² x )
= √ ( 1 + tan² x ) + ( 1 + cot² x)
= √( tan² x + cot² x + 2 )
= √ ( tan² x + cot² x + 2tanx cotx )
= √ ( tanx + cotx )²
= Tanx + cotx
= RHS
I hope this helps you.
: )
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