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lyudmila [28]
3 years ago
9

Solve cot x + 2cot x * sin x = 0 for U^ <= x<=180

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

cot x + 2cot x  sin x = 0        0≤ x≤ 180

cotx(1+2sinx) =0    means : cotx=0   or  1+2sinx=0

1)  cotx=0   so :  cosx=0  and  sinx ≠ 0   because cotx = cosx/sinx

when :  0≤ x≤ 180  : x=90°

2) 1+2sinx=0  means : sinx = -1/2

when :  0≤ x≤ 180  : no solutions because  :  sinx ≥ 0

conclusion : one solution : x=90°

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Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

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The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

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Answer:

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Need to use distributive property to write the expanded form of 3(6 + 7)

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