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Pavel [41]
3 years ago
10

Find values for θ that make each statement true (show steps)

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

Step-by-step explanation:

1. sinФ = cos 25

25 ° is in the between 0 and 90°

therefore it can simply represent

cosФ= sin (90-Ф) = sin (90 - 25) = sin 65

2. sin(Ф/3 + 10) = cos Ф

cos Ф = sin (90 -Ф)

sin(Ф/3 + 10) = cos Ф

sin(Ф/3 + 10) = cos Ф = sin(90-Ф)

Ф/3+10=90-Ф

10Ф+3/30 = 90-Ф

10Ф+3 = 30(90-Ф)

10Ф+3 = 2700-30Ф

10Ф+30Ф=2700-3

40Ф = 2697

Ф = 2697 / 40 = 67.425 ≅ 67.4°

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Let (-5,-4) be a point on the terminal side of (theta). Find the exact values of cos, csc, and tan.
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The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.

<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>

It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).

Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.

Hence, the length of the line that describes the angle by Pythagoras theorem is;

h = √((-4)² + (-5)²)

h = √41.

Hence, it follows from trigonometric identities that;

Cos (theta) = -5/√41.

Csc (theta) = -√41/4

Tan (theta) = 4/5

Read more on trigonometric identities;

brainly.com/question/24496175

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7 0
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How many sites are show in this data set?
andre [41]

Answer:

The total number of sites are 15 .

Step-by-step explanation:

As shown in question.

The number of sites in 2 shield darter = 3

The number of sites in 3 shield darter = 1

The number of sites in 4 shield darter = 4

The number of sites in 6 shield darter = 2

The number of sites in 7 shield darter = 3

The number of sites in 8 shield darter = 1

The number of sites in 9 shield darter = 1

Thus

Total number of sites =  Number of sites in 2 shield darter + Number of sites in 3 shield darter +  Number of sites in 4 shield darter +  Number of sites in 6 shield darter +  Number of sites in 7 shield darter  +  Number of sites in 8 shield darter + Number of sites in 9 shield darter

Putting the values in above

                                  = 3 + 1 + 4 + 2 + 3 + 1 +1

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3 0
3 years ago
-7c+9=c+1 <br> If you could also show how you did it i would appreciate it
Step2247 [10]
-7c+9=c+1    (subtract c on both sides)
-8c+9=1    (subtract 9 on both sides)
-8c=-8     (divide by -8 on both sides to get c by its self)
c=1
your answer is 1.
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3 years ago
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