Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).
Then the hypotenuse length is √(1+4²) = √17.
The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so
Answer:
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Step-by-step explanation:
Answer:
x < -3/4 OR x>16/5
Step-by-step explanation:
5x – 4 > 12 OR 12x+5 < -4
Solve the parts separately and then put back together
5x – 4 > 12
Add 4 to each side
5x-4+4>12+4
5x >16
Divide each side by 5
5x/5>16/5
x > 16/5
12x+5 < -4
Subtract 5 from each side
12x+5-5<-4-5
12x<-9
Divide each side by 12
12x<-9/12
x <-3/4
Put back together
x < -3/4 OR x>16/5
This is the concept of transformation, ΔHJK=ΔLMN, from the diagram:
∠H=∠L
∠K=∠N
∠M=∠J
In order to map ΔHJK to ΔLMN, we need to translate K to N and rotate about K until HK lies on the same line containing LN.
Hello, you need to Add all the perimeters together and if asking for one find the length of it but if wanted total add;)
