if sec theta > 0, cosec theta < 0, then theta lies in which quadrant
Answers
Step-by-step explanation:
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If sec θ > 0 , cosec θ < 0 then θ lies in fourth quadrant
Given :
sec θ > 0 , cosec θ < 0
To find :
The quadrant where θ lies
Solution :
Step 1 of 3 :
Use the condition sec θ > 0
Since sec θ > 0
So θ lies in first quadrant or fourth quadrant
Step 2 of 3 :
Use the condition cosec θ < 0
Since cosec θ < 0
So θ lies in third quadrant or fourth quadrant
Step 3 of 3 :
Find the quadrant where θ lies
From above we see that θ lies in fourth quadrant
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