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
zhannawk [14.2K]
3 years ago
9

How do I solve these trigonometric equations!!?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0
<span>1) (sin x)(cos x) = 0 This means that either sin x = 0, or cos x = 0. Sin x = 0 when x = 0 or pi. cos x = 0 when x = pi/2 or 3pi/2. 2) cos2x + 2cosx + 1 = 0 First, expand cos2x. Simple trigonometric identity states that cos2x = (cos x)^2 - (sin x)^2.Now, substituting this equation, we get cos2x + 2cosx + 1 = (cos x)^2 - (sin x)^2 + 2cosx + 1. Note that we can now utilize the identity (cos x)^2 = 1 - (sin x)^2 to obtain (cos x)^2 + 2cosx + 1 - (sin x)^2 = 2(cos x)^2 + 2(cos x) = 0. Now, we can see that 2(cos x)^2 + 2(cos x) = 2(cos x)(cos x + 1) = 0. This is true when cos x = 0 or cos x + 1 = 0. Cos x = 0 when x = pi/2 or 3pi/2. cos x = -1 when x = pi. Therefore, x = pi/2, pi or 3pi/2.</span>
You might be interested in
How do you simplify 7x×4y×2y^2
belka [17]
The answer is: 56xy³
_______________________________
Explanation:
_______________________________
Find the "like terms"; which are: 
_______________________________
"4y" and "2y<span>²"
_______________________________
The remaining term is: "7x".
_____________________________________
The problem is a "multiplication problem" :
___________________________________________
7x * 4y * </span>2y² ; so start by multiplying the "like terms" :
<span>___________________________________________
4y * 2y</span>² = 8y<span>³
____________________________________________
Then the remaining term is "7x";
        so, multiply that by our obtained value: "</span>8y³ " :
_____________________________________________
7x * 8y³  = 56xy³ ; which is our answer:
___________________
6 0
3 years ago
What is the square of one half?
Vlad1618 [11]

Answer:

One-half squared is one-fourth.

Step-by-step explanation:

When you divide fractions, you multiply the first term by the reciprocal of the second term. In this example, instead of multiplying 1/2 by 1/4, you now multiply 1/2 by 4. Therefore, one half is equal to 2 fourths.

3 0
3 years ago
Read 2 more answers
4/5 divided by 1/3 ??
DochEvi [55]

Answer:

2.4

Step-by-step explanation:

3 0
3 years ago
I think of a number,divide it by 4 then subtract 3. Give your answer in algebraic notation.
Vilka [71]
X/4 - 3

(*make sure to write the division in fraction form as shown for algebraic notation)
5 0
2 years ago
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0
3 years ago
Other questions:
  • Evaluate (x+y)^0 For x=-3 and y=5
    9·2 answers
  • Out of the last 50 guests, only 1 of them brought a coupon for free admission to the carnival. if there are 1,500 guests expecte
    8·1 answer
  • Let f be defined as shown.<br> What is f^-1(8)?
    9·1 answer
  • Circle the equivalent expressions<br> 6x+18-3x-9<br> 6x-3(3x-3)<br> -3(x-3)<br> -6x+3(3+3x)-6x
    10·1 answer
  • Complete the congruence statement.
    5·1 answer
  • The length of needles produced by a machine has standard deviation of 0.04 inches. Assuming that the distribution is normal, how
    15·1 answer
  • The data show prices of light bulbs at a home improvement store, rounded to the nearest dollar. Find the interquartile range (IQ
    11·2 answers
  • HELP ME ASAP TO DO THE MATH
    15·1 answer
  • I don't understand this​
    8·1 answer
  • You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!