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kayraalessandra kayraalessandra
  • 24-05-2024
  • Mathematics
Answered

determina \(\(\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}=\frac{\sec x}{\sin x}\)\)

Verified Answer :

Itz5151
Itz5151 Itz5151
  • 24-05-2024

Step-by-step explanation:

LHS = sinx/cosx + cosx/sinx

Take LCM of sinx and cosx

= (sinxsinx + cosxcosx)/sinxcosx

= sin²x + cos²x/sinxcosx

  • sin²x+cos²x = 1

= 1/(sinxcosx)

  • 1/cos x = secx

= 1/cosx 1/sinx

= sec/sinx = RHS

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