Rewrite with only sin x and cos x.cos 2x - sin x
Select one:
a. cos2x - sin2x - sin x
b. cos2x - sin3x
c. cos2x + sin2x + sin x
d. cos2x - 3 sin x

Answers

Answer 1
Answer: The answer is a. cos2x - sin2x - sin x. Use the rule: cos2x = (cos^2)x - (sin^2)x. So, substitute cos2x in the expression: cos2x - sinx = ((cos^2)x - (sin^2)x) - sinx = (cos^2)x - (sin^2)x - sinx. Therefore, choice a. is correct choice.
Answer 2
Answer:

cos^2x - sin^2x - sin x is the solution of the given equation.

To rewrite the expression cos 2x - sin x using only sin x and cos x, we can apply trigonometric identities.

Using the identity cos 2x = 1 - 2sin^2x, we can rewrite the expression as:

1 - 2sin^2x - sin x

Since,

sin^2x +cos^2x = 1

Therefore, the correct answer is:

a. cos^2x - sin^2x - sin x

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One of two complementary angles is 4 degrees more than the other. Find the angles. (Recall that complementary angles are angles whose sum is 90 degrees.)Which of the following equations can not be used to solve the problem if x represents one of the angles?

Answers

   
\displaystyle \n \alpha + \beta = 90^o \n \alpha - \beta = 4^o \n \texttt{----------- } + \n 2\alpha ~~/~= 94^o \n \n \alpha = (94)/(2) = \boxed{47^o}\n \n \beta = 90 -\alpha = 90 - 47 = \boxed{43^o}



angle KLM and angle MLN are complementary. angle LM bisects angle KLM. Find the measures of angle KLM and MLN

Answers

By definition, the measures of two complementary angles adds up to 90 degrees. Therefore, the measure of angle KLN is 90 degrees. Because LM bisects KLN, by definition, LM divides KLN in half. Therefore KLM and MLN each measure 45 degrees. When in doubt, draw a picture.

Final answer:

Using the concepts of complementary angles and bisecting angles, we find that Angle KLM measures 60 degrees and Angle MLN measures 30 degrees.

Explanation:

In this problem, we're dealing with complementary angles and bisecting an angle. Complementary angles are two angles whose measures sum to 90 degrees. When an angle is bisected, it is split into two equal smaller angles.

Firstly, as angle KLM and angle MLN are complementary, the sum of their measures equals 90 degrees, so Angle KLM + Angle MLN = 90 degrees.

Secondly, as angle LM is bisecting angle KLM, this means that angle KLM is split into two equal parts. Let's assume each of those parts is x, that means Angle KLM = 2x.

Given that angle KLM and angle MLN are complementary, we can substitute angle KLM = 2x into the equation, leading us to 2x + Angle MLN = 90 degrees. Since angle MLN is also x because it's a part of bisected angle KLM, we can substitute in Angel MLN = x into this equation, ending up with 2x + x = 90 degrees or 3x = 90 degrees. Solving for x, we find that x = 90 / 3 = 30 degrees.

Therefore, the measure of Angle KLM (2x) is 60 degrees and the measure of Angle MLN (x) is 30 degrees.

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What is the answer
(x³)^4

Answers

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

Answer:

Step-by-step explanation:

x^3^4

x^12  multiply the powers

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green and striped).

Answers

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S)  ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

--------------------------------

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

How do I Graph f(x)=5x-45.

Answers

Simplifying fx = 5x + -45 Reorder the terms: fx = -45 + 5x Solving fx = -45 + 5x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -45x-1 + 5 Simplifying f = -45x-1 + 5 Reorder the terms: f = 5 + -45x-1
f(x) = 5x - 45

Slope: 5
Y - Intercept: -45

From the set {0, 1, 11}, use substitution to determine which value of x makes the equation true.23x + 27 = 50
A. 11
B. 0
C. 1
D. none of these


2. From the set {0, 1, 10}, use substitution to determine which value of x makes the equation true.

23x + 29 = 52
A. 10
B. 1
C. none of these
D. 0


3.
Add 5 and b. Then, multiply by 2.

Which of the following expressions matches the statement above?
A. 5 + b × 2

B. (5 + b) × 2

C. 5 × (2 + b)

D. b + 5 × 2



4. What is the absolute value of the number indicated on the number line below?




-20
-19
-18
-17
-16
-15
-14
-13
-12
-11
-10
-9
-8
A. -18
B. 17
C. -17
D. 18

Answers

1) the answer is C: 1, 23*(1) + 27 = 50
2) the answer is  B: 1, 
23*(1) + 29 = 52
3) the answer is  
B. (5 + b) × 2
4) the question is not clear

Answer:

1) the answer is C: 1, 23*(1) + 27 = 50

2) the answer is  B: 1, 23*(1) + 29 = 52

3) the answer is  B. (5 + b) × 2

4) the question is not clear

Step-by-step explanation: