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
Nata [24]
3 years ago
5

Solve, for 0 ≤ θ < 360 , the equation sin2 θ = 1 + cos θ

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

θ = 90°, 180°, or 270°

Step-by-step explanation:

sin²θ = 1 + cos θ

Use Pythagorean identity.

1 − cos²θ = 1 + cos θ

Move everything to one side and simplify.

0 = cos²θ + cos θ

Factor.

0 = cos θ (cos θ + 1)

Solve.

cos θ = 0 or -1

θ = 90°, 180°, or 270°

You might be interested in
When forests are replaced with cities,
Lilit [14]

Answer:

the balance of nature is changed

Step-by-step explanation:

your answer

6 0
2 years ago
How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz
Burka [1]

Answer:  4 oz

<u>Step-by-step explanation:</u>

Create a table.  Multiply across and add down (the middle column cannot be added).  The Mixture line creates the equation that must be solved.

Let x represent the unknown quantity of walnuts.

\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}

.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}

4 0
3 years ago
5. Change the following mixed numbers to improper
bonufazy [111]
A.23/6
b.23/8
c.26/5
d.64/9
3 0
2 years ago
Can someone help me out?
jonny [76]

Answer:

NO

Step-by-step explanation:

bc

u

ha ve

aut

tis

umm

and

special

kid

home

work

8 0
3 years ago
Expand the following.... please help
Evgesh-ka [11]
= (3/8) (16x + - 24)
=(3/8) (16x) +(3/8)(-24)
=6x - 9
4 0
3 years ago
Other questions:
  • Compare the quantity in column A with the quantity in column B. Choose the best answer.
    8·1 answer
  • I need help ASAP://);(
    14·2 answers
  • If edge of cube is reduced by 25%.find the percentage decrease in its total surface area.<br>​
    7·1 answer
  • I dont under stand what 5/8 - 2/4
    13·1 answer
  • Suppose you overdrew your bank account. You have a balance of -$34. You then deposit checks for $17 and $49. At the same time th
    12·1 answer
  • Write an equation of the line that passes through the given point with the given slope
    13·1 answer
  • Write a System of Equations to solve the following problem:
    14·1 answer
  • Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points)
    5·1 answer
  • The measures of 13 angles of a 14-gon add up to 2014. Find the fourteenth angle measure
    10·1 answer
  • −3 and 7/10 ​/ 2 and 1/4​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!