Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
The answer is in the picture I’ll send u a link phs.dcsdk12.org the answer is in there good luck!
Answer:
A
Step-by-step explanation:
Both points are positive in the 1st quadrant.
<em><u>18/50</u></em>
<em><u>27/75</u></em>
<em>and</em>
<em><u>36/100</u></em>
<em>are all equivalent fractions to 9/25 </em><em>because</em><em> </em><em>when</em><em> </em><em>you</em><em> </em><em>reduce</em><em> </em><em>them</em><em> </em><em>to</em><em> </em><em>lowest</em><em> </em><em>terms</em><em> </em><em>you'll</em><em> </em><em>get</em><em> </em><em>9</em><em>/</em><em>25</em><em> </em>
Hope this helped - have a good day bro cya)
Answer:
C
Step-by-step explanation:
I did the math
