Step-by-step explanation:
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Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer:
8 and 10
Step-by-step explanation:
All you need to know to begin setting this up is that to get from one even integer to the next consecutive even integer, add 2.
Start with x = an even integer (yes, because you say so!)
Next even integer = x + 2
"five times the first integer is equal to four times the second integer"
5x = 4(x + 2)
Distribute the 4.
5x = 4x + 8
Subtract 4x
x = 8
The two integers are 8 and 10
5(8) = 4(10) as desired!
