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.
Answer:
There are 16 cups of spice mix will made by the recipe.
Step-by-step explanation:
Given,
Number of cups of salt = 8
Number of cups of grounded black pepper = 6
Number of cups of garlic powder = 2
We have to find out number of cups of spice mix made by recipe.
Solution,
The total number of cups of spice mix is the sum of amount of salt, amount of grounded black pepper and amount of garlic powder.
So the equation can be framed as;
Total number of cups of spice mix = 
Hence There are 16 cups of spice mix will made by the recipe.
The answer to this would be 3/8.
you just simplify the given terms, so -1 7/8 can be simplified into -15/8 and 2 1/4 can be simplified into 9/4, add those together to get a sum of 3 over 8 or 3/8.
Good Luck
Hello there
36+4=40 people in one bus
In 6 buses how many people?
40•6=240 people are going on the field trip
:D
