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oee [108]
3 years ago
9

Given sec A = 5/3 and that angle A is in Quadrant I, find the exact value of csc A in simplest radical form using a rational den

ominator.​
Mathematics
1 answer:
serg [7]3 years ago
5 0

9514 1404 393

Answer:

  5/4

Step-by-step explanation:

The relationship between the sec and csc functions is ...

  csc(A) = sec(A)/√(sec²(A) -1)

For the given value of sec(A), this is ...

  csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)

  csc(A) = 5/4

__

Some calculators can tell you the answer directly.

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Certain three​-cylinder combination lock has 70 numbers on it. to open​ it, you turn to a number on the first​ cylinder, then to
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8 0
3 years ago
Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.
Kamila [148]

Answer:

Equation: (29x + 12)° + (15x - 8)° = 180°

x = 4

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Step-by-step explanation:

Given:

m∠ 1 = 29x + 12,

m∠ 5 = 15x - 8

Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.

Therefore, m<1 = m<4 = 29x + 12

m<4 + m<5 = 180° (linear pair)

(29x + 12) + (15x - 8) = 180° (substitution)

The equation above is what we would use in solving for x. Let's solve for x:

29x + 12 + 15x - 8 = 180

Collect like terms

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Subtract 4 from both sides

44x = 180 - 4

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Divide both sides by 44

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Plug in the value of x

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7 0
3 years ago
8 1/6 - 2 7/8 = <br><br> BRAINLIEST
ivann1987 [24]

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

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3 years ago
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KiRa [710]
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4 0
3 years ago
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