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
stepladder [879]
2 years ago
6

Find the values of the six trigonometric functions for angle G.

Mathematics
2 answers:
EleoNora [17]2 years ago
6 0

Answers:

  • sin(G) = 3/5
  • cos(G) = 4/5
  • tan(G) = 3/4
  • csc(G) = 5/3
  • sec(G) = 5/4
  • cot(G) = 4/3

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

-----------------

In short, we have this list so far

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse
  • tan(angle) = opposite/hypotenuse

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

  • csc(angle) = hypotenuse/opposite
  • sec(angle) = hypotenuse/adjacent
  • cot(angle) = adjacent/opposite

--------------------

So,

  • sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
  • cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
  • tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4

and

  • csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
  • sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
  • cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
solmaris [256]2 years ago
6 0

Answer:

Step-by-step explanation:

Hope this helps u!!

You might be interested in
HELP ME!!!!!!
denis-greek [22]

Answer:

data set C.

Step-by-step explanation:

This set has a bigger/wider range (1-5)

5 0
2 years ago
Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3
Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

4x^2- 8x = 3

The general form of a quadratic equation is given as:

ax^2 + bx +c = 0

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0
3 years ago
There are 3 alternative routes by which you may drive to work: Alabaster Street, Brillantine Street, and Clancy Street. It is th
Solnce55 [7]

Answer:

25%

Step-by-step explanation:

sorry i did it in my head

3 0
3 years ago
What is the solution to the system <br><br> A. (-3,1)<br> B. (0,3<br> C. (1,3)<br> D. (1,-1)
UNO [17]

Answer:

C

Step-by-step explanation:

the lines are intersecting at 1,3

5 0
2 years ago
Read 2 more answers
Please help, round to the nearest thousandth
laiz [17]

Answer:

75.398

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Find the total surface area of a rectangular prism with dimensions of 8 ft x 4 ft x 3 ft.
    13·1 answer
  • (4.76) × (12.5) simplified
    11·2 answers
  • 7 less than 9 times a number is 56
    5·1 answer
  • Given a regular octagon, in how many ways can we color one diagonal red and another diagonal blue so that the two colored diagon
    15·1 answer
  • Which graph represents a function, f(x), that has a slope of 3 units and f(0) = 14?
    13·1 answer
  • What is the value of 2/7 divided by 4/9
    9·2 answers
  • Find the slope and the y-intercept of the graph of the linear equation. Then, graph the equation.
    15·1 answer
  • Midpoint (12, -9), endpoint (19, 0) the other endpoint is ​
    11·1 answer
  • Pleaseeseeeee help with question 7
    6·1 answer
  • What are two things an electric circuit needs to work?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!