Explain why sketching y=sin(x) can help graph y=csc(x)

Answers

Answer 1

Answer: The graph of csc x is a parabola with its vertex at the node of the graph of sin x.

Answer 2

Answer: y = csc (x) = 1/sin (x)

When you realize that sin (x) is an even function, you can conclude that csc(x) is also even.

Whenyou draw y = sin(x), you will see the zeroes of the function, which are values for which the funcion csc(x) is not defined, but goes to + or - infinity, i.e. you obtain the asymptotes.

You can also realize that the maximums of sin(x) will result in minimums of csc(x).

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Parallel Lines and Angle Relationships#1 What is the value of y. Type your answer below. *

#2 If the m<4 is 110 degrees, what is m<1 ? (Give number value only.) *

#3 If e || f and a || b, what is the value of y. *
A) 87
B) 88
C) 91
D) 92

Answers

Answer:

1. y = 80°

2. m<1 = 70°

3. y = 92°

Step-by-step explanation:

1. Since lines c and b are parallel lines cut across by transversal a, therefore:

y = 80° (alternate exterior angles are congruent)

2. m<1 is the supplement of m<4, because the angle that forms a linear pair with <1, corresponds with <4.

Therefore: m<1 = 180° - 110° = 70°

3. First, find the value of x.

(x + 1)° + (x - 3)° = 180° (supplementary)

x + 1 + x - 3 = 180°

2x - 2 = 180°

2x = 180 + 2 (addition property of equality)

2x = 182

x = 182/2 (division property of equality)

x = 91

(x + 1)° = y° (alternate interior angles are congruent)

Substitute x = 91

91 + 1 = y

92° = y

Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.