Respuesta :
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]