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
fenix001 [56]
2 years ago
5

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Mathematics
1 answer:
Lyrx [107]2 years ago
4 0

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

You might be interested in
I need help please will mark brainliest
Simora [160]

Answer:

4 horses maybe

Step-by-step explanation:

you might subtract the 4 horses from the left to get 8 horses in the right but that's equal to 2 elephants so divide 8 by 2 to get the 1 elephant so 4 maybe

4 0
2 years ago
Read 2 more answers
three friends decide to rent an apartment for a total of 972 per month if they share the rent equally, which of the following op
Bumek [7]

972 / 3 = $324

Which means that each person will pay $324

8 0
3 years ago
Solve for x.<br><br>5x - (2x - 2) = 17​
neonofarm [45]

Answer:

6.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the area of the shaded region - please just show your first step in this process.
erastovalidia [21]

Answer:

4x^3 - 3x^2 - 14x + 6 (this is the formula since we don't know x)

Step-by-step explanation:

[(4x-2) x (x^2 - 3)] - [(x+2) x (x)] = 4x^3 - 3x^2 - 14x + 6

4 0
2 years ago
What is the original price if saidhari and she paid $75 and it was 1/4 off the price
Lelu [443]
Let's set the original price as x.

1/4 off the original price would be

x-1/4x=3/4x

Set it equal to 75

3/4x=75
3x=300
x=100

The original price was $100.

Hope this helps!
4 0
3 years ago
Other questions:
  • A square lawn has area 800ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern as shown in the
    7·1 answer
  • What is the answer for 39 40 36 37 33 34
    8·2 answers
  • Cyndi bought an extra large pizza, cut into 12 pieces, for today's meeting of the mystery club. She ate 1/6 of the pizza yesterd
    5·2 answers
  • What is the inverse?
    11·1 answer
  • At a neighborhood picnic, the kids found a long rope and had a tug of war. one side had twice as many kids as the other side, so
    7·2 answers
  • Find the equation of the line that passes through (-2, -5) and (1, 7).
    6·1 answer
  • Can you chick are those right
    8·1 answer
  • Define acute triangle. A. A triangle whose angles each measure less than 90o B. A triangle with one interior angle that measures
    8·1 answer
  • 5.<br> Put the following fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2
    8·1 answer
  • Please help me someone
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!