sanjosegary29 sanjosegary29
  • 23-06-2017
  • Mathematics
contestada

Use trigonometric identities to rewrite the equation sec theta/ csc theta =1

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aefy7 aefy7
  • 26-06-2017
sec θ/ csc θ==> tan θ =1
the answer is tan θ=1 
Answer Link
erato erato
  • 13-05-2019

Answer:

[tex]tan\theta=1[/tex]

Step-by-step explanation:

We have to rewrite the equation:

[tex]\dfrac{sec\theta}{cosec\theta}=1[/tex]

We know that

[tex]sec\theta=\dfrac{1}{cos\theta}[/tex]

and [tex]cosec\theta=\dfrac{1}{sin\theta}[/tex]

on putting these equation in first equation, we get:

[tex]\dfrac{\dfrac{1}{cos\theta}}{\dfrac{1}{sin\theta}} =1\\\\\\\dfrac{sin\theta}{cos\theta}=1\\ \\tan\theta=1[/tex]

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