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
BaLLatris [955]
3 years ago
11

A point on the terminal side of an angle theta in standard position is (negative 24 comma 18 ). Find the exact value of each of

the six trigonometric functions of theta.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

Answer:

(I)Sin Θ=4/5

(II) Cos Θ =-3/5

(III) Tan Θ = -4/3

(IV) Cosec Θ = 5/4

(V) Sec Θ = -5/3

(VI) Cot Θ = -3/4

Step-by-step explanation:

(-24,18)

This lies in the second quadrant from the diagram.

Note that the angle is at the origin (0,0).

Using Pythagoras triples(18,24,30)

Hypotenuse = 30

Opposite=-24

Adjacent=18

(I)Sin Θ= Opposite/Hypotenuse

=-24/30=-4/5

Note: (Sine is Positive in the Second Quadrant)

Sin Θ =4/5

(II) Cos Θ = Adjacent/Hypotenuse

=18/30=3/5

Since Cosine is negative in the Second Quadrant

Cos Θ=-3/5

(III) Tan Θ = Opposite/Adjacent

Tan Θ = -24/18= -4/3

(IV) Cosec Θ = 1/Sin Θ = 5/4

(V) Sec Θ = 1/cos Θ = -5/4

(VI) Cot Θ = 1/tan Θ = -3/4

You might be interested in
At age 25, you decide to start your retirement account, and put $700 at the end of each quarter into an account paying 7.25% com
Veronika [31]

Answer:

44.5 is the best

Step-by-step explanation:

3 0
3 years ago
What is the BEST evidence that the author would make a good sportswriter?
Nikolay [14]

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

5 0
2 years ago
Read 2 more answers
Order the fractions from smallest to largest. 1\4 1\8 1\2 1\5​
sukhopar [10]
The answer is pretty simple, 1/8, 1/5, 1/4, 1/2
8 0
3 years ago
8. Which of the following is true of the commutative property under subtraction? A. 10 – 9 = 10 – 9 B. 10 + 9 = 9 + 10 C. 10 – 9
raketka [301]
D - the commutative property shoes you cannot flip those numbers without changing the value
3 0
3 years ago
Read 2 more answers
I honestly don't know how to answer this question
Art [367]
In this right triangle we have the opposite and adj which is tangent
tan 37=9/x
since we have the x in the bottom so we switch it with tan37
which is
x=9/tan 37
x=11.94340339
x=11.94
5 0
3 years ago
Other questions:
  • What’s another way to write 6+6+6+6?
    5·2 answers
  • Combine like terms to simplify the expression below:<br> 14x - (2x -y) -y STEP BY STEP PLEASE
    12·2 answers
  • Simplify the expression.
    15·1 answer
  • What is the area of a rectangle measuring 25 feet long by 8 feet wide
    14·1 answer
  • F(x) = х2 + 1<br> g(x) = 5-х<br> (f+ g)(x) =
    14·2 answers
  • Please answer quickly
    14·2 answers
  • Can someone help me :(
    6·2 answers
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • Free_points/brainleast
    11·2 answers
  • What point on the parabola is closest to the point
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!