What is 61/4 as a decimal

Solve 2 sin 20 - tan 20 = 0 for 0 in [0°, 360°). <br><br> Any help would be really appreciated!

andre [41]

Answer:

Step-by-step explanation:

If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"

Never use 0 as a substitute for θ! 0 is a constant with a specific value.

Since the argument of the trig functions is an expression, you should put parentheses around it: sin(2A).

:::::

I used several trigonometric identities for this question:

Double-angle formula for sine: sin(2θ) = 2sinθcosθ

Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)

Quotient identity: tanθ = sinθ/cosθ

Reciprocal identity: secθ = 1/cosθ

Pythagorean identity: 1+tan²θ = sec²θ

2sin(2θ) - tan(2θ) = 0

2sin(2θ) = tan(2θ)

2·2sinθcosθ = 2tanθ/(1-tan²θ)

2sinθcosθ = tanθ/(1-tan²θ)

2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))

2(1-tan²θ) = 1/cos²θ

2(1-tan²θ) = sec²θ

2-2tan²θ) = 1+tan²θ

1 = 3tan²θ

tan²θ = ⅓

tanθ = ±1/√3

θ = 30°, 330°

3 0

3 years ago

Uhh jus look at the picture

I am Lyosha [343]

There is no picture lol

5 0

3 years ago

Read 2 more answers

Your cellular phone contract calls for a flat monthly service charge of $10.95 plus $0.12 per minute for calls within a certain

wariber [46]

Answer:

For 100 calls the monthly cost = 10.95 + 0.95(100) = $ 22.95

120 calls = 10.95 + 0.95(120) = $ 25.35

140 calls = 10.95 + 0.95(140) = $ 27.75

160 calls = 10.95 + 0.95(160) = $ 30.15

Therefore it is constant

The answer is B. Yes, the average rate of change is constant

Hope this helps!

4 0

3 years ago

Read 2 more answers

Find the y and x intercept for <br> 4x-y=12

aniked [119]

Answer:

x intercept: (3,0)

y intercept: (0, -12)

4 0

3 years ago

I NEED HELP ASAP!!!!!

MAXImum [283]

Answer:

Part A)

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Part B)

$y=6x+10$ is the function that bets fits the data.

Part C)

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Step-by-step explanation:

Part A)

We know that

Negative correlation means when one variable decreases, then the other variable also decreases.

Positive correlation means when one variable increases, then the other variable also increases.

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Thus, the two variables i.e. Number of employees (x) and Number of Products (y) will have positive correlation.

Please check the attached graph in figure a to determine that the positive correlation as the value of variable $x$ increases when the value of variable $y$ also increases.

Part B)

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

As we know that the point slope form

$y=mx+b$