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aev [14]
2 years ago
10

Area of a triangle using sine rule: workout area of ABCD please show working out

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0
Answer:
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Given sinθ=- 3/5 and cscθ=-5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Sh
Yakvenalex [24]
Let ABC be a triangle in the 3rd quadrant, right-angled at B. 
 So, AB-> Perpendicular BC -> Base AC -> Hypotenuse. 
Given: sinθ=-3/5 cosecθ=-5/3 
 According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
 Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
 Since sinθ=Perpendicular/Hypotenuse ,
 AC=5 and AB=3
 Substituting these values in equation (1)
 
〖BC〗^2=〖AC〗^2-〖AB〗^2

 ă€–BC〗^2=5^2-3^2
 

 ă€–BC〗^2=25-9

 ă€–BC〗^2=16

 BC=4 units

 Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
 So,cosθ=Base/Hypotenuse Cosθ=-4/5 
 secθ=Hypotnuse/Base secθ=-5/4 
 tanθ=Perpendicular/Base tanθ=3/4  
 cotθ=Base/Perpendicular cotθ=4/3
4 0
2 years ago
The population of Chicago, Illinois, in 2003 was 2,869,121. The area of Chicago was 227.1 square miles. What was the average num
ValentinkaMS [17]

Answer:

12,633.7

Step-by-step explanation:

population of Chicago, in 2003 = 2,869,121

The area of Chicago = 227.1 square miles.

What was the average number of people living in 1 square mile?

Average number of people living in 1 square mile also refers to the population density of Chicago

Average number of people living in 1 square mile = Total population / total square miles

= 2,869,121 / 227.1

= 12633.734037868

Approximately

12,633.7

5 0
2 years ago
Darrel went to the mall and spent $41. He brought several t-shirts that act cost $12 and he brought 1 pair of socks for $5. How
antoniya [11.8K]
Darrel bought three t-shirts seeing that 41-5=36/12=THREE
7 0
3 years ago
Read 2 more answers
5 to the second power minus two (4-1)
PilotLPTM [1.2K]

Answer:

23

Step-by-step explanation: You have to do 5x5 because 5^2 mans there is two fives. Then you just subtract two

5x5=25

25-2=23

8 0
3 years ago
If you take 10 quizzes by the end of the semester and get 6 A's and 4 B's, the ratio of A's to B's is _____.
guapka [62]

Answer:

the ratio is 6:4 if we were reduce it, it will be 3:2

7 0
3 years ago
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