Two Hundred And Thirteen Point Zero Eight.
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
Step-by-step explanation:
Just consider the inequalities an equal sign and do the usual way of solving:
8x - 6 > 12 + 2x
8x - 2x > 12 +6
6x > 18
x > 3
*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*
Example:
-x + 3 > -2
-x > -2-3
-x > -5
Multiplying both sides by -1:
x < 5
Answer: Squishy ones, corgis

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