1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
13

Simplify the trigonometric expression. sin4(α) − cos4(α) + cos2(α)

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

sin²(α)

Step-by-step explanation:

sin⁴(α) − cos⁴(α) + cos²(α)

sin⁴(α) − cos²(α) (cos²(α) − 1)

sin⁴(α) − cos²(α) (-sin²(α))

sin⁴(α) + sin²(α) cos²(α)

sin²(α) (sin²(α) + cos²(α))

sin²(α) (1)

sin²(α)

You might be interested in
What is the equation of the following line? (-3,1) and (0,0)
aleksklad [387]

Answer:

y = (1/3)x

Step-by-step explanation:

If the y-intercept is (0, 0), then y = mx + b becomes y = mx.

Seeing that y increases by 1, going from (-3, 1) to (0, 0), and that x increases by 3, we determine that the slope, m, is 1/3.

The equation of this line is therefore y = (1/3)x.

4 0
3 years ago
I need help! THIS IS NOT MULTIPLE CHOICE!!!! The time needed to roast a chicken depends on its weight. Allow at least 20 min/lb
vladimir2022 [97]
What would you do if you ever needed to cook a chicken
if y is the time required to cook the bird and x is number of chicken lbs

y = 20x when x ≤ 6
y = 15x when x > 6

To Graph:
Have the y-axis (minutes) go by 5's since slopes of both equations are multiples of 5. The y-axis, I would suggest go to atleast 150 minutes for a 10 lbs chicken. The x-axis is in lbs and can go by 1 lb marks.

Start with the first equation where the chicken is smaller than or equal to 6 lbs. (0,0) (1,20), (2,40) (3, 60), (4,80), (5,100) to 6lbs (6,120). If the equation is EQUAL TO the point and the line will be SOLID.

for the second equation, the chicken is larger than 6 lbs. Start with x = 6 but the point will be OPEN and the line DASHED because it's NOT EQUAL TO. (6,90) (7,105) (8,120) (9,135), (10, 150) .... and on arrow to show this

7 0
3 years ago
Lisa walks at a speed of 3 25 miles per hour for 1 5 hours How many miles does she walk in all?
Blababa [14]

Answer:

I think it might be 21.6 or just 21

7 0
3 years ago
Read 2 more answers
The area of rectangle ABCD is 9 cm2 show that x2 +5x=3
Anastasy [175]

Answer: x² + 5x = 3

Step-by-step explanation:Step-by-step explanation:

The rectangle has been divided into a square and three rectangles.

The area of

a square = (x)(x) = x²

a rectangle #1 = (2)(x) = 2x

a rectangle #2 = (3)(x) = 3x

a rectangle #3 = (2)(3) = 6

The area of a large rectangle is the sum of the square area and three rectangles, and is 9 cm². Therefore we have the equation:

x² + 2x + 3x + 6 = 9     subtract 6 from both sides

x² + 5x + 6 - 6 = 9 - 6

x² + 5x = 3

4 0
3 years ago
Find the measure of the missing angles​
slava [35]

Answer:

<B = 18

x+23 = 35

5x = 60

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Sophie is a high school basketball player. In a particular game She made some free throws (worth one point each) and some two po
    15·2 answers
  • What is the unit rate of 115miles in 2hours
    13·2 answers
  • What is the median of this list of numbers? 5, 10, 13, 7, 5
    9·2 answers
  • You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes a
    14·1 answer
  • Find all angles θ between 0° and 180° satisfying the given equation. round your answer to one decimal place. (enter your answers
    6·1 answer
  • What is the range of the function f(x)=12-3x for the domain {-4,-2,0,2,4}?
    11·1 answer
  • In slope-intercept form what is m=-2, b=8/5
    6·1 answer
  • The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
    7·1 answer
  • Guests at a wedding have an appetizer
    9·1 answer
  • Help please! What is the correct answer and how do I solve for R?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!