swosteeka
swosteeka swosteeka
  • 10-07-2021
  • Mathematics
contestada

Help me to solve this fast ( prove it)

Help me to solve this fast prove it class=

Respuesta :

Bromine67
Bromine67 Bromine67
  • 10-07-2021

Step-by-step explanation:

sec⁴A + tan⁴A = 1 + (2tan²A/cos²A)

LHS = sec⁴A + tan⁴A

= (sec²A)² + (tan²A)² {using formula of a²+b²)

= (sec²A-tan²A) + 2tan²A.sec²A

= 1 + {2tan²A.(1/cos²A)}

= 1 + (2tan²A/cos²A)

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