Funkalucious
Funkalucious Funkalucious
  • 20-07-2020
  • Mathematics
contestada

Which of the following is an identity?
A: secBcotB = cosB
B: secBcotB = cscB
C: secBcotB = sinB
D: secBcotB = cscBtanB

Respuesta :

Stephen46
Stephen46 Stephen46
  • 20-07-2020

Answer:

The answer is option B

Step-by-step explanation:

secB = 1/cosB

cotB = cosB / sinB

secBcotB is

[tex] \frac{1}{ \cos(B) } \times \frac{ \cos(B) }{ \sin(B) } \\ \\ = \frac{1}{ \sin(B) } \\ \\ But \: \frac{1}{ \sin(B) } = \csc(B) \\ \\ \\ = \csc(B) [/tex]

Hence the identity

Hope this helps you

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