If P(x,y) is the point on the unit circle defined by real number e, then csce =
2 answers:
Answer:
Step-by-step explanation:
It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)
This scenario is represented in the figure attached below.
The formula of csc is:
A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.
Hypotenuse = 1
So, the formula of csc would be reduced to:
The side opposite to the angle made at origin is y. So,
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The steps in the patterns A and B form a sequence
The attached diagram represents dots in patterns A and B
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Step 2 = 10 dots
Increment of 3 dots in each step
This means that:
Step 0 = 4 dots
Step 1 = 7 dots
Step 2 = 10 dots
Step 3 = 13 dots
For pattern A, we have the following rule
When n = 0 to 3, we have:
Step 0 = 1 dot
Step 1 = 3 dots
Step 2 = 9 dots
Step 3 = 19 dots
Next, we draw the diagrams of both patterns (see attachment)
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Answer: 6
Step-by-step explanation:
Because corresponding sides of similar triangles are proportional,