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damaskus [11]
3 years ago
9

Please help!

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0
Number 1 is B
Number 2 is also B
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Sin\theta +cos\theta =1
Mamont248 [21]

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

4 0
3 years ago
What is the rational number equivalent to 1.28?
shusha [124]

Answer: 1 28/100 or 1 7/25

Step-by-step explanation:

6 0
2 years ago
What is 3.4% of 975? please help thanks!
OLEGan [10]
You are multiplying 975 by 0.034
33.15
4 0
3 years ago
Write your answer in simplest radical form​
liubo4ka [24]

Answer:

x = 2 yd

Step-by-step explanation:

Angles of 45 degreees = two congruent legs

for the Pythagorean theorem

2x^2 = 8

x^2 = 4

x = 2

5 0
2 years ago
Read 2 more answers
For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min(
Annette [7]

Answer:

min(10,w)=\left \{ {{w} \quad\text{for } w

Step-by-step explanation:

No value of w is given, so we can only tell you the meaning of <em>min(10, w)</em>:

When w < 10, min(10, w) is w.

When w ≥ 10, 10 is the smaller of the two values, so min(10, w) = 10.

3 0
3 years ago
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