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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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8 0
2 years ago
in one day annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the
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In order to solve this mathematical problem we can first consolidate and observe the given values and the values that are not known in the stated problem. Annie traveled 5 times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours. Find the numbers.
Equation, <span><span>
1. </span><span> 5(y) + 2 = 20</span></span>
<span><span>2. </span><span> 5y = 20 – 2</span></span> <span><span>
3. </span><span> 5y = 18</span></span>
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6. </span><span> 5y = 5(3.6)</span></span> <span><span>
7. </span><span> Annie = 18</span></span>
Hence, Annie traveled 18 hours while Brian traveled 3.6 hours.  



8 0
1 year ago
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