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 equation (x+2) as a parabola goes through the origin (0,0) but since there is a +2 outside. You move this parabola up 2 on the y-axis
Answer:
AOB = 55°
BOC = 87°
COD = 130°
AOD = 88°
Step-by-step explanation:
AOB = a°
= 55°
BOC = b°
= 87°
COD = c°
= 130°
AOD = 360°-AOB-BOC-COD
= 360°- a° - b° - c°
= 360° - 55° - 87° - 130°
= 88°
(Correct me if i am wrong)
1 mile = 1.6 kilometers so 24*1.6 = 38.4
<em>24 miles = 38.4 kilometers</em>
1 kilometer = 1000 meters so 38.4*1000 = 38,400 meters
<em>38.4 kilometers = 38,400 meters
</em>1 hour = 60 minutes so 2*60 = 120
<em>2 hours = 120 minutes
</em>
To calculate meters per minute, divide.
38,400 / 120 = 320
So that means that Calvin's approximate speed is 320 meters per minute.
Answer:
,
Step-by-step explanation:
