Math, asked by theskullrider09, 8 months ago

( 1+ TanA + SecA)( 1+ CotA - CosecA)

Answers

Answered by spiderman2019

0

Answer:

Step-by-step explanation:

(1 + TanA + SecA)(1 + CotA - CosecA)

=> (1 + SinA/CosA + 1/CosA)( 1 + CosA/SinA - 1/SinA)

=> (CosA + SinA + 1/CosA)(SinA + CosA - 1 / SinA)

=> [(CosA+SinA) + 1 / CosA][(CosA + SinA) - 1 / SinA]

=> (CosA + SinA)² - 1 / SinACosA

=> Cos²A + Sin²A + 2SinACosA - 1 / SinACosA

=> 1 + 2SinACosA - 1 / SinACosA

=> 2SinACosA/SinACosA

=> 2.

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