Ask question

Ask question

All categories

3 years ago

8

Q5 Q9.) Let theta be an angle in standard position. Name the quadrant in which theta lies

2 answers:

Juliette [100K]3 years ago

7 0

Sine is positive while cotangent is negative. So this must mean cosine is negative since cos/sin = cot. In other words, cotangent is the ratio of cosine over sine.

Because cosine is negative and sine is positive, this places theta in quadrant 2
This is where x < 0 and y > 0. Recall that on the unit circle, x = cos(theta) and y = sin(theta).

The answer is choice B) quadrant II

marta [7]3 years ago

3 0

Sin $\theta$ > 0 so it can only be I or II
cot $\theta$ < 0 so it can only be II or IV
combining, ans is II

You might be interested in

The function y = |x + 6| is a transformation of the parent function

charle [14.2K]

Answer:

in the lefthand direction

Step-by-step explanation:

in |x + 6| , the +6 means that it shifts left by 6 units

if it was -6, it was should right by 6 units

6 0

2 years ago

Assume that 0<br> a. 16/63<br> b. -16/63<br> c. 63/16<br> d. -63/16<br><br> please help

iVinArrow [24]

The answer to this question is B

3 0

3 years ago

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

<u>So, the mean of the number preferring the incumbent is given by;</u>

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

<u>And, standard deviation of the number preferring the incumbent is given by;</u>

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

7 0

3 years ago

What is the value of x

pav-90 [236]

Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.

If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.

Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).

If RT is 4, then RQ must also be 4.

Answer: x = 4

Hope this helps!

7 0

2 years ago

Rationalize the denominator and simplify

Llana [10]

The answer is number A

6 0

3 years ago