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3 years ago

1. In which quadrant does θ lie given that sinθ>0 and cosθ<0?

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

$\theta$ is in quadrant II

Step-by-step explanation:

Given

$\sin(\theta) > 0$ and $\cos(\theta) < 0$

Required

Where is $\theta$

$\sin(\theta) > 0$ and $\cos(\theta) < 0$ imply that

$\theta$ is in quadrant II

Because that is only quadrant where $\sin(\theta) > 0$ and $\cos(\theta) < 0$ exist.

You might be interested in

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Aloiza [94]

The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

However, the minimum y value is -2 and it increases from there

So, the range of the graph is y > -2

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -1 and -5
y-intercept = 1

<h3>Relative max and relative mins points and values, </h3>

The graph has no relative maximum and the relative minimum is (-3, 2)

<h3>Intervals of increase and decrease</h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (-3, ∝)
Decreasing interval: (-∝, -3)

<h3>Intervals of positive and negative</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-∝, -5) and (1, ∝)
Negative interval: (-5, -1)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the symmetry is x = -3

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

8 0

2 years ago

The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven piano sonata will be playe

VashaNatasha [74]

Answer:

3 years, 11 months and 10 days

Step-by-step explanation:

Beethoven wrote

32 piano sonatas

9 symphonies

5 piano concertos

By the fundamental principle of counting there are

32 times 9 times 5 ways of combining these pieces in the required order.

32 times 9 times 5 = 1,440

As there are 365 days in a year, the policy decided by the manager could be continued during

1,440/365 = 3.9452 years.

But 3.9452 years = 3 years + 0.9452 years.

As 1 year equals 12 months

0.9452 years = 11.3424 months

11.3424 months = 11 months+0.3424 months

As 1 month = 30 days

0.3424 months = 10.27 days = 10 days rounded to the nearest integer

So, the manager could continue this policy for

3 years, 11 months and 10 days without repeating the program.

8 0

3 years ago

Help before i get my but beat

morpeh [17]

Answer:

top: 16

bottom: 9

side: 9

back 1: 16

back 2: 29

good luck

Step-by-step explanation:

6 0

3 years ago

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p

vodomira [7]

Complete question :

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answer:

-6°F

Step-by-step explanation:

Temperature at 5am (t1) = - 6°F

Temperature at 3pm (t2) = 36°F

Change in temperature, between 5am and 3pm:

(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F

Hence, temperature at 8:00 pm:

High temperature - change in temperature between (5am - 3pm)

36°F - 42°F = - 6°F

7 0

3 years ago

What is <img src="https://tex.z-dn.net/?f=%205%5E%7B436%7D%20" id="TexFormula1" title=" 5^{436} " alt=" 5^{436} " align="absmidd

Paul [167]

Let's see -

We already know that a number raised to a certain power means repeated multiplication, right? So, all we have to do is multiply 5 × 5 × 5 × 5

436 times! I know, big, right?

This WILL give you a decimal answer and a + sign, so please don't be confused with me!

5 raised to the 436th power is going to give you

= 5.635362925894614e + 304

Crazy, right?

↑ ↑ ↑ Hope this helps! :D

6 0

3 years ago

Read 2 more answers