Factor the algebraic expression below in terms of a single trigonometric function cos x - sin 2x - 1

Answers

Answer 1

Answer: cos x - sin² x - 1 =
= cos x - ( cos² x - 1 ) - 1 =
= cos x - cos² x + 1 - 1 =
= cos x - cos² x =
= cos x · ( 1 - cos x )

Answer 2

Answer:

Answer:

(cosx+2)(cosx-1)

Step-by-step explanation:

cos x - sin²x - 1

sin²x = 1- cos²x

plug in

cos x - (1- cos²x) - 1 = cos x - 1 + cos²x - 1 = cos²x + cos x - 2

factor cos²x + cos x - 2

(cosx+2)(cosx-1)

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Answers

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VERY EASY QUESTIONMadison made a mistake when she combined terms. Explain what Madison did wrong? Explain and give an example of what she should have done.

What Madison did step by step:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x

Answers

Her mistake is that she didn't distribute the terms correctly . She subtracted 4 and- 2x , which is incorrect . She had to multiply -3 and the numbers inside the parenthesis .

the mistake is in combining 4 with -2x because they're not like terms
7-3(4-2x)-10x
7-12-6x-10x
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How to solve 2^(log(2)3+ log(2)5

Answers

$2^(log_23+log_25)=2^(log_2(3\cdot5))=2^(log_215)=15\n\n---------------------------\n\nfor\ a,b,c\in\mathbb{R^+}\n\nlog_ab+log_ac=log_a(b\cdot c)\n\na^(log_ab)=b$

$2^(\log_23+ \log_25 )=\n 2^(\log_215)=\n 15$

What is the slope for this graph?

Answers

slope = rise/run
slope for this graph = 6/4 = 3/2

What is the relationship between mass, density, and volume? Provide an example that involves calculating population density.

Answers

density = mass /volume

A husband and wife celebrate their birthdays on the same day of the month, but in different months. Every year, their birthdays fall on the same day of the week. If the husband's birthday is in March and the wife's birthday is later in the year, find the month of the wife's birthday.

Answers

Well, let's assume March 1st is Sunday. April 1st is Wednesday, May 1st is Saturday, June 1st is Tuesday, July 1st is Thursday, August 1st is Friday, September 1st is Sunday. So, her birthday must be in September.

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