ElisabellaG157645 ElisabellaG157645
  • 03-11-2022
  • Mathematics
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Express tante in terms of sec e for ein Quadrant I.

Express tante in terms of sec e for ein Quadrant I class=

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YunalescaL408975 YunalescaL408975
  • 03-11-2022

Explanation:

We would be applying the trigonometry identity that shows thr=e relationship between tanθ and secθ:

[tex]\sec ^2\theta=tan^2\theta\text{ + 1}[/tex]

we make tanθ the subject of formula:

[tex]\begin{gathered} \text{subtract 1 from both sides:} \\ \sec ^2\theta-1=tan^2\theta\text{ + 1}-1 \\ \sec ^2\theta-1=tan^2\theta\text{ } \\ \text{square root both sides:} \\ \sqrt[]{\sec ^2\theta-1)}\text{ =}\sqrt[]{tan^2\theta\text{ }} \end{gathered}[/tex]

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