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Setler [38]
2 years ago
11

Find sec θ if θ is in Quadrant IV and sinθ=-1/5

Mathematics
2 answers:
mr_godi [17]2 years ago
7 0
We know that
sec θ=1/cosθ
 if θ is in Quadrant IV--------------> sec θ  is positive, because the cosθ is positive
<span>sinθ=-1/5
</span>sin²θ+cos²θ=1--------------> cos²θ=1-sin²θ-----------> 1-(1/5)²=24/5
cosθ=√(24/5)----> 2√6/√5
secθ=1/cosθ--------> 1/(2√6/√5)---------> √5/(2√6)=√30/12

the answer is secθ=√30/12
Lina20 [59]2 years ago
5 0

Answer:

i got the answer 5(sqrt6)/12

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