elizabethrose0603 elizabethrose0603
  • 03-03-2022
  • Mathematics
contestada

Solve trigonometric function:
csc0 × tan0

Respuesta :

semsee45
semsee45 semsee45
  • 03-03-2022

Answer:

[tex]\sec(\theta)[/tex]

Step-by-step explanation:

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

Therefore,

[tex]\csc(\theta) \times \tan(\theta)=\dfrac{1}{\sin(\theta)}\times\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{1}{\cos(\theta)}=\sec(\theta)\\[/tex]

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