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laiz [17]
2 years ago
11

Sec theta - Csc theta / (csc theta)(sec theta)

Mathematics
2 answers:
Sophie [7]2 years ago
3 0

Answer:

sin(x)-cos(x)

Step-by-step explanation:

\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)}  }{\frac{1}{sin(x)} * \frac{1}{cos(x)}  }

Simplify the denominator:

\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)}  }{\frac{1}{cos(x)sin(x)}  }

Simplify the numerator:

\frac{{\frac{2(sin(x)-cos(x))}{sin(2x)} }  }{\frac{1}{sin(x)} * \frac{1}{cos(x)}  }

Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:

\frac{(-cos(x)+sin(x))*2cos(x)sin(x)}{sin(2x)}

Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>

\frac{sin(2x)(-cos(x)+sin(x))}{sin(2x)}

Cancel out the common factor (sin(2x)):

-cos(x) + sin(x)

Simplify:

sin(x) - cos(x)

Afina-wow [57]2 years ago
3 0

Answer:

IDK

Step-by-step explanation:

Sorry this is way too hard.

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Explain why ΔABC cannot be shown to be congruent to ΔCDA.
igomit [66]

There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.

We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.

That third piece of info could be....

  • AD = BC which allows us to use SAS
  • angle ACD = angle CAB which allows us to use ASA
  • angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)

Since we don't know any of those three facts, we simply don't have enough information.

side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.

4 0
2 years ago
Can y’all please help me with this!!
Zepler [3.9K]

Answer:

B

Step-by-step explanation:

i'm assuming its B sorry if it didn't help

6 0
2 years ago
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purp
MAVERICK [17]

Answer:

Blue =1\frac{3}{5}

Step-by-step explanation:

Given

Blue = 1\frac{1}{3}

Red = 1\frac{2}{3}

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

Ratio = Blue : Red

When  Blue = 1\frac{1}{3} and  Red = 1\frac{2}{3}

Ratio = 1\frac{1}{3} : 1\frac{2}{3}

When Red = 2

Ratio = Blue : 2

Equate both ratios

Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}

Convert to division

\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}

Convert fractions to improper fraction

\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}

\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}

\frac{Blue}{2} =\frac{4}{5}

Make Blue the subject

Blue =\frac{4}{5}*2

Blue =\frac{8}{5}

Blue =1\frac{3}{5}

4 0
3 years ago
Identify the x-intercepts of the function graphed below.
bezimeni [28]

Answer:

-2 and 3 along the horizontal line

Step-by-step explanation:

There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis

7 0
2 years ago
M 1 = a) 40 b) 130 c)50
kotykmax [81]

Answer:

C) 50

Step-by-step explanation:

You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.

4 0
3 years ago
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