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kkurt [141]
3 years ago
14

Find the solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.)sec θ − tan θ = cos θ

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

<h3>π/2</h3>

Step-by-step explanation:

Given the expression;

secθ − tan θ = cosθ

We are to find the solution in the interval [0, 2π).This is as shown;

From trigonometry identity;

secθ = 1/cosθ

tanθ = sinθ/cosθ

Substitute into the formula;

secθ − tan θ = cosθ

1/cosθ-sinθ/cosθ = cosθ

Multiply through by cosθ

1 - sinθ = cos²θ

1-sinθ = (1-sin²θ)

1-sin²θ-1+sinθ =0

-sin²θ+sinθ = 0

sin²θ = sinθ

sinθ = 1

θ = arcsin 1

θ = 90

θ = π/2

Hence the solution is π/2

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We have to find the width first.

72 divide by 9 = 8

To find the perimeter, you can do it two ways:

1. 9 + 8 + 9 + 8 = 34

2. 2(9) + 2(8) = 18 + 16 = 34

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7 0
4 years ago
I REALLY DONT GET THIS PLEASE HELP AND EXPLAIN!:)
Svetradugi [14.3K]
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a=5 and b=6
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So side AB is 7.81 ft

Now we need to find out side BC.

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Because it's a rectangle, side CD will be 7.81 and side DA will be 5.

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8 0
4 years ago
At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least o
ycow [4]

Answer:

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Step-by-step explanation:

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of the students in the school both walk and have been late.

The probability that the student selected walks and has been late is 15%.

7 0
3 years ago
A test of hypothesis is conducted to determine whether annual income and education level are independent. It is determined that
kramer

Answer: We concluded that annual income and education level are not independent.

Step-by-step explanation:

For the given situation, the null and alternate hypothesis can be formulated as:

H_0: annual income and education level are independent.

H_a: annual income and education level are not independent.

Given,  the value of test statistic is 24.32 and the critical value of test statistics is 13.32.

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4 years ago
How do I write in equation form slope = -3; y-intercept = 5
kari74 [83]

Answer:

y=-3x+5

Step-by-step explanation:

3 0
3 years ago
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