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Serggg [28]
3 years ago
10

Cos2A is equivalent to: A. sin2A−cos2A B. sin2A+cos2A C. cos2A−sin2A D. cosA−sinA

Mathematics
1 answer:
valina [46]3 years ago
6 0

Formatted Options:

A. sin²A−cos²A

B. sin²A+cos²A

C. cos²A−sin²A

D. cosA−sinA

Answer:

C. cos²A−sin²A

Step-by-step explanation:

From the double angle formulas, we know that:

cos (A + B) = cosAcosB - sinAsinB

So, if B = A, then the above equation becomes;

cos(A + A) = cosAcosA - sinAsinA      [i.e replacing B with A]

=>cos(2A) = (cosA)² - (sinA)²

=> cos(2A) = cos²A - sin²A

Therefore,

cos(2A) is equivalent to cos²A - sin²A

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Answer:

12

Step-by-step explanation:

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.. n + 7
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The 100th term is 107.
8 0
3 years ago
Miley walks to school by 1 of 3 routes in the morning. After school she chooses from 4 different
Alenkinab [10]

Miley travel from home to school to work and back home again in 60 different ways

<em><u>Solution:</u></em>

<em><u>Miley walks to school by 1 of 3 routes in the morning</u></em>

So she chooses 1 route from 3 routes

Number of ways = 1 x 3 = 3 ways

<em><u>After school she chooses from 4 different  routes to get to work</u></em>

So she has 4 different routes and she picks up 1

Number of ways = 1 x 4 = 4 ways

<em><u>When work is done she travels home by 1 of 5 different ways</u></em>

So she has 5 different routes and she picks up 1

Number of ways = 1 x 5 = 5 ways

<em><u>How many  different routes can Miley travel from home to school to work and back home again?</u></em>

Total number of different ways = 3 ways x 4 ways x 5 ways

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Thus Miley travel from home to school to work and back home again in 60 ways

4 0
4 years ago
The sum of 3 times a number and 7
leva [86]
Algebraically, that will be expressed as:

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7 0
4 years ago
The low temperature (in degrees Fahrenheit) for one week in Minneapolis, MN were Mon Tue Wed Thur Fri Sat Sun –6 –4 –5 2 0 3 –7
Alika [10]
Part A : You want to arrange the larger negative numbers to the left, so the number farthest left would be -7, followed by -6, -5, -4, and then 0. Then 2 is next, followed by 3. So the answer would be : -7, -6, -5, -4, 0, 2, 3.

Part B : So on that day on January, it's saying the Minnesota's degree was -14 degrees Fahrenheit and New York was -5. And he's saying that New York is colder. This is incorrect because people often make this mistake when working with negative numbers. Think of the numbers on a number line, on the negative side, the farther you are away from zero, the colder it will be. The closer you are to zero on the negative side, the less colder it'll be. On the positive side, the farther you are away from zero, the hotter it will be. The closer you are to zero on the positive side, the more warmer, this is why he is incorrect.

Part C : It would be -61 degrees Fahrenheit, because as I mentioned earlier, the farther you are away from zero on the negative side, the colder it'll be. 




4 0
3 years ago
Read 2 more answers
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