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
KATRIN_1 [288]
3 years ago
8

Sin\theta +cos\theta =1

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

θ = 2 π n_1 + π/2 for n_1 element Z  or θ = 2 π n_2 for n_2 element Z

Step-by-step explanation:

Solve for θ:

cos(θ) + sin(θ) = 1

cos(θ) + sin(θ) = sqrt(2) (cos(θ)/sqrt(2) + sin(θ)/sqrt(2)) = sqrt(2) (sin(π/4) cos(θ) + cos(π/4) sin(θ)) = sqrt(2) sin(θ + π/4):

sqrt(2) sin(θ + π/4) = 1

Divide both sides by sqrt(2):

sin(θ + π/4) = 1/sqrt(2)

Take the inverse sine of both sides:

θ + π/4 = 2 π n_1 + (3 π)/4 for n_1 element Z

or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z

Subtract π/4 from both sides:

θ = 2 π n_1 + π/2 for n_1 element Z

or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z

Subtract π/4 from both sides:

Answer: θ = 2 π n_1 + π/2 for n_1 element Z

or θ = 2 π n_2 for n_2 element Z

You might be interested in
Plz guys help me plz
Verizon [17]

Answer:

B

Step-by-step explanation:

✔️Rate of change using two points on the line, say (2, 60) and (3, 75);

Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1

Rate of change = 15

This means each class costs $15

✔️Initial value is the y-intercept (b). It represents the initial start-up fee.

To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

Therefore, initial start-up fee is $30.

4 0
2 years ago
Mrs. Dixon had 1/2 of a cherry pie leftover. She split the leftover pie evenly between her children, and each child got 1/6 of a
AVprozaik [17]
1/2 = 3/6
Each children got 1/6
3/6 - 1/6x = 0
3/6 = 1/6x
X = 3, she has 3 children
8 0
2 years ago
Read 2 more answers
One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not incl
Arlecino [84]

Answer:

The players expectation is -0.1052

Step-by-step explanation:

Consider the Roulette numbers to from 1-36, also the two green zeroes 0 and 00,

Thus, there are 38 places on which the ball can land.

On first 36 numbers, 12 of them are divisible by 3. Also there are 26 numbers which are not divisible by 3.

The probability of a wager winning is: 12/38 or 6/19

Now the probability of a wager to loss is: 26/38 or 13/19

So for a 6/19 chance of winning $4 and a 13/19 chance of losing $2.

Therefore, the expected outcome is:

4 × 6/19 + -2 × 13/19 = 1.2632 - 1.3684 = -0.1052

The expected value comes up with a negative sign. Hence, he will lose money.

The players expectation is -0.1052

8 0
3 years ago
On a coordinate plane, A line is drawn from point Fernando to point Maria. Fountain is labeled in between the 2. Fernando is at
agasfer [191]

The location of the fountain as described in the task content is; (-1, -0.5).

<h3>What is the location of the Fountain?</h3>

According to the task content, the locations of Fernando and Maria are given as; (-4, -2) and (4,2) respectively and the ratio of division is expected to be; 5: 3.

Hence, the coordinates of the fountain can be evaluated as;

x = (4) - (4-(-4)) × (5/8) = -1.

y = 2 - (2-(-2)) × (5/8) = -0.5

Hence, it follows that the coordinates of the fountain location is; (-1, -0.5) since the fountain is closer to Fernando than Maria.

Read more on dividing lines by ratios;

brainly.com/question/21108138

#SPJ1

8 0
1 year ago
Look at the picture, it’s easy
Maurinko [17]

Answer:

(1,0.85)

Step-by-step explanation:

(x,y) = (t,d)

t = 1 minute

d = 0.85 feet

6 0
2 years ago
Read 2 more answers
Other questions:
  • A corner store sells two kinds of baked goods: cakes and pies. A cake costs $5 and a pie costs $7. In one day, the store sold 15
    14·2 answers
  • What is the product of( 2x^2+4x-2) and (3x+6)
    7·2 answers
  • You have already saved $55. You earned $9 per hour at your job. You are saving for a bicycle that costs $199. What inequality re
    5·1 answer
  • You buy the same number of brushes,rollers,and paint cans. Write an expression in simplest form that represents the total amount
    10·1 answer
  • What is the constant in the expression?
    14·2 answers
  • The box-and-whisker plot below represents some data set. What percentage of the
    13·1 answer
  • How many orders are possible to view 6 videos from a stack of 8 videos?
    6·1 answer
  • Find the missing side length 5m x
    15·1 answer
  • Answer choices:<br> y=2(4)^x<br> y=2x+4<br> y=4(2)^x<br> y=4x+2<br> help will be nice tyyy:))
    14·1 answer
  • Concept of place value, ordering and rounding (in small and easy words) ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!