All categories

3 years ago

If cos θ > 0, which quadrant(s) could the terminal side of θ lie?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

Answer:

I and IV

Step-by-step explanation:

cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.

Can remember by All Star Trig Class

meaning all the trig funtions are positive in quadrant I

sin is positive in II

tan is positive in III

and cos is positive in IV

You might be interested in

A chef used 1/9 of a bag of potatoes for a meal. If the potatoes fed 5 people. What fraction of the bag did each person get

tangare [24]

1/9 has to be divided by 5 if it is shared by others.

1/9 divided by 5 is 1/45 and each person would have 1/45

Answer is 1/45

6 0

2 years ago

39 less than twice a number is 5 times the sum of a number and two times the number. Find the number

umka2103 [35]

$2n - 39 = 5(n + 2n)\\2n - 39 = 5(3n)\\2n - 39 = 15n\\2n = 15n + 39\\-13n = 39\\\\n = -3$

3 0

3 years ago

N + 3m; use m = 3, and n = 1

musickatia [10]

Answer:

Step-by-step explanation:

plug 3 into m and plug 1 into n
order of operations say you multiple first so you multiple 3 times 3 which equals 9
then you add 1 and 9 which equals 10

4 0

3 years ago

Match each equation to the line of best fit that it models.

egoroff_w [7]

By applying concepts of <em>linear</em> functions, the graphs are related to the following expressions:

(4/7) · x + 2
x + 2
(1/7) · x + 2
- (1/7) · x + 2
- x + 2

<h3>How to match a line with a given linear function</h3>

Graphically speaking, lines are described by <em>linear</em> functions, a kind of polynomials of grade 1, whose standard form is presented below:

y = m · x + b (1)

Where:

x - Independent variable
y - Dependent variable
m - Slope
b - Intercept

Please notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the <em>resulting</em> expressions are shown in this order:

(4/7) · x + 2
x + 2
(1/7) · x + 2
- (1/7) · x + 2
- x + 2

To learn more on linear functions: brainly.com/question/9330192

#SPJ1

6 0

1 year ago

Find the values of the sine, cosine, and tangent for ZA C A 36ft B <br> 24ft

Reptile [31]

<h2>Question:</h2>

Find the values of the sine, cosine, and tangent for ∠A

a. sin A = $\frac{\sqrt{13} }{2}$ , cos A = $\frac{\sqrt{13} }{3}$ , tan A = $\frac{2 }{3}$

b. sin A = $3\frac{\sqrt{13} }{13}$ , cos A = $2\frac{\sqrt{13} }{13}$ , tan A = $\frac{3}{2}$

c. sin A = $\frac{\sqrt{13} }{3}$ , cos A = $\frac{\sqrt{13} }{2}$ , tan A = $\frac{3}{2}$

d. sin A = $2\frac{\sqrt{13} }{13}$ , cos A = $3\frac{\sqrt{13} }{13}$ , tan A = $\frac{2 }{3}$

<h2>Answer:</h2>

d. sin A = $2\frac{\sqrt{13} }{13}$ , cos A = $3\frac{\sqrt{13} }{13}$ , tan A = $\frac{2 }{3}$

<h2>Step-by-step explanation:</h2>

The triangle for the question has been attached to this response.

As shown in the triangle;

AC = 36ft

BC = 24ft

ACB = 90°

To calculate the values of the sine, cosine, and tangent of ∠A;

<em>i. First calculate the value of the missing side AB.</em>

<em>Using Pythagoras' theorem;</em>

⇒ (AB)² = (AC)² + (BC)²

<em>Substitute the values of AC and BC</em>

⇒ (AB)² = (36)² + (24)²

<em>Solve for AB</em>

⇒ (AB)² = 1296 + 576

⇒ (AB)² = 1872

⇒ AB = $\sqrt{1872}$

⇒ AB = $12\sqrt{13}$ ft

From the values of the sides, it can be noted that the side AB is the hypotenuse of the triangle since that is the longest side with a value of $12\sqrt{13}$ ft (43.27ft).

<em>ii. Calculate the sine of ∠A (i.e sin A)</em>

The sine of an angle (Ф) in a triangle is given by the ratio of the opposite side to that angle to the hypotenuse side of the triangle. i.e

sin Ф = $\frac{opposite}{hypotenuse}$ -------------(i)