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2 years ago

5) Establish the indentity (cot + tan ) sin = sec . Show each step to justify your conclusion.

Mathematics

1 answer:

katen-ka-za [31]2 years ago

3 0

Answer:

Step-by-step explanation:

Identities : -

cot = cos / sin

tan = sin / cos

( cot + tan ) sin = sec

LHS

= ( cot + tan ) sin

= ( ( cos / sin ) + ( sin / cos ) ) sin

= ( ( cos sin ) / sin ) + ( sin² / cos )

= cos + ( sin² / cos )

LCM = cos

= ( cos² / cos ) + ( sin² / cos )

= ( cos² + sin² ) / cos

Identity : -

cos² + sin² = 1

= 1 / cos

= sec

= RHS

Hence proved.

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