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
lora16 [44]
2 years ago
8

Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

ould be typed as sin^2x. Be sure to show all your work.2sin2x - cos2x - 2 = 0
Mathematics
1 answer:
Margarita [4]2 years ago
5 0

Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).

By using the trigonometric identities below :

sin2x=2sinxcosx

cos2x=cos^2x-sin^2x

We substitute the trigonometric identities into (1).

2sin^2x+2sinxcosx+cos^2x-sin^2x=0

By combining like terms .

sin^2x+2sinxcosx+cos^2x=0.....(2)

The equation (2) is equivalent to the following expression (3).

(sinx+cosx)(sinx+cosx)=0 .....(3).

sinx+cosx=0

cosx=-sinx

divide both sides by cosx

1=-sinx/cosx

-1=sinx/cosx

sinx/cosx=tanx

substitute

-1=tanx

tanx=-1

tangent is negative in 2nd and 4th quadrants

tan135º=-1 (one answer)

tan315º=-1 (second answer)

Step-by-step explanation:

Please refer to the trigonometric identities used and explained above .

You might be interested in
A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
WARRIOR [948]

I suppose a DJ wants to select 4 different songs, then there are: 12*11*10*9 = 11880 ways to choose them.

If the order of the songs he plays doesn't matter, there are: \frac{12 * 11 * 10 *9 }{4!} = 495 ways to choose them.

7 0
3 years ago
Read 2 more answers
Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick
ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0
2 years ago
Pls help i will give brainliest:
kobusy [5.1K]

Answer:

Its D

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help with this question p
Gemiola [76]

Answer:

160 cm²

Step-by-step explanation:

V = 1/3 * 24 * 20 = 160 cm²

4 0
2 years ago
The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
Sphinxa [80]
The answer is the first one
7 0
2 years ago
Other questions:
  • Elsa made $143 for 11 hours of work. At the same rate, how much would she make for 5 hours of work
    5·2 answers
  • explain the pattern used to find an answer when you multiply or divide a whole number by a power of 10
    13·1 answer
  • The solution to 2 × 27 will be what kind of number?        A. Odd  B. Perfect square  C. Even  D. Prime
    7·2 answers
  • PLEASSSE HELP MEEE
    7·1 answer
  • Communicative property
    10·1 answer
  • Select all radical expressions that are equivalent to 5 2/3
    11·2 answers
  • Solve for x. 11x+4&lt; 15 OR 12x–7&gt;-25
    13·1 answer
  • Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?
    14·2 answers
  • The ratio of length and breadth of a rectangular playground is 3:2. There
    8·1 answer
  • Write your answer as a whole number and remainder.<br> 31+4=R
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!