1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
3 years ago
11

Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer:

Cosθ = 0.5145

Sinθ = 0.8575

Secθ = 1.9436

tanθ = 1.667

Step-by-step explanation:

From the figure attached,

Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.

If m∠PAB = θ

AB = \sqrt{(3)^{2}+(5)^{2}}

     = \sqrt{34}

     = 5.831

Then Cosθ = \frac{AB}{AP} = \frac{3}{5.831}

Cosθ = 0.5145

Sinθ = \frac{PB}{AP}

Sinθ = \frac{5}{5.831}

Sinθ = 0.8575

Secθ = \frac{1}{\text{Cos}\theta}

Secθ = \frac{1}{0.5145}

Secθ = 1.944

tanθ = \frac{PB}{AB}

tanθ = \frac{5}{3}

tanθ = 1.667

You might be interested in
Really need help on today's assignment 5a+ 6(6a+2)
Alisiya [41]

Answer: 5a + 36a + 12

Step-by-step explanation:

6 0
3 years ago
Please help! I have to use the Pythagorean theorem for this but idk how to do that with four numbers
lana [24]

Answer:

Step-by-step explanation:

Remark

Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.

Directions for diagram extension.

Go to the right hand end of the 10 unit line.

Draw a line from the intersection point of the 10 unit line and 12 unit line

Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x

Mark the intersect point of the new line and the 18 unit line as B

Mark the intersect point of the 18 point line and the 12 unit line as C

Given and constructed

BC = 18 - 10 = 8

BC is one leg of the Pythagorean triangle.

The new x is the other leg of the Pythagorean triangle.

12 is the hypotenuse.

Formula

x^2 + 8^2 = 12^2

x refers to the new x which is equal to the given x

Solution

x^2 + 64 = 144              Subtract  64 from both sides

x^2 +64 - 64 = 144-64  Combine

x^2 = 80                        Break 80 down.

x^2 = 4 * 4 * 5               Take the square root of both sides        

x = 4*sqrt(5)

Comment

If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)

5 0
3 years ago
I need help! Anyone…I don’t understand it.
ziro4ka [17]

Answer:

Step-by-step explanation:

okay is there a graph for it? or is it just like that?

5 0
3 years ago
A bag contains white marbles and green marbles, 108 in total. The number of white marbles is 6 more than 5
sweet-ann [11.9K]

27.6

108/5= 21.6+6= 27.6

3 0
3 years ago
Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all
ANTONII [103]

Answer:

et the sales done by Mr. Gonzalex each month is

x

.

Then the annual sales are

12

x

.

Thus, since the annual sales are

12

x

, the commission earned is

0.04

×

12

x

.

Thus, since Mr Gonzalez want to make $60,000 this year, we get the equation -

$

18

,

000

+

0.04

×

12

x

=

$

60

,

000

0.04

×

12

x

=

$

42

,

000

12

x

=

42

,

000

.04

=

42

,

00

,

000

04

=

10

,

50

,

000

x

=

10

,

50

,

000

12

=

$

87

,

500

Thus, the monthly sales that Mr Gonzalel needs to do are $87,500.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 56 divided by 19
    6·2 answers
  • 6 cakes cost to pound £2.40 how much does 10 cakes cost?
    7·2 answers
  • Right or not ???????????!!!?????????
    11·1 answer
  • A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev
    6·1 answer
  • Using numbers and operations to write each phrase as an expression the difference between 58 and 47
    5·1 answer
  • The sum of two consecutive integers is at most 45. What is the larger integer?
    8·1 answer
  • Your savings account pays 2.5% interest per year. How much interest does the account pay per month.
    13·1 answer
  • Concert each mixed number to a fraction greater than 1, or each fraction greater than 1 to a mixed number.
    7·1 answer
  • Please help! Help Will Give 100 PTS
    13·1 answer
  • To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a gra
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!