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
shepuryov [24]
3 years ago
10

Find the exact value of sec(-4π/3

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
<span>Find the exact value of sec(-4π/3).  Note that one full rotation, clockwise, would be -2pi.  We have to determine the Quadrant in which this angle -4pi/3 lies.  Think of this as 4(-pi/3), or 4(-60 degrees).  Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees.  This is in Q III.  The ray representing -240 has adj side = -1 and opp side = to sqrt(3).

Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.

Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3)    (answer).  This could also be written as (2/3)sqrt(3).


</span>
You might be interested in
−8−1+4 ⋅ 2 find the answer to this equation
jeyben [28]

Answer:

-1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
11. Simplify (6x^-2)^2 (0.5x)^4 Show your work
horrorfan [7]
Hope this helps you.

6 0
3 years ago
Read 2 more answers
In one week, Callum collected 1246 rocks from the seashore. Every day, he collected the same number of rocks. In a single day, h
Snezhnost [94]

Answer:

178

Step-by-step explanation:

1246 over a week, (1246/7) in a day. 178 rocks a day

6 0
3 years ago
Find the volume of the prism . Can u also state formula as well please
maks197457 [2]

Answer:

840cm^3

Step-by-step explanation:

[12*15-(12-8)*(15-5)]*6

=[180-40]*6

=140*6

=840cm^3

3 0
3 years ago
Read 2 more answers
Need help understanding the formula
ololo11 [35]

For this case we have the following equation:

H (t) = -16t ^ 2 + vt + s

Where,

t: time

v: initial speed

s: initial height

Substituting values we have:

H (t) = -16t ^ 2 + 15t + 4

By the time the ball hits the ground we have:

-16t ^ 2 + 15t + 4 = 0

From here, we clear the value of time:

Using the quadratic equation we have:

t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}

Doing the calculations we have:

t1=-0.217\\t2=1.154

Discarding the negative root, we have that the time is:

t=1.154

Answer:

it takes the ball to hit the floor about:

1.15 seconds



6 0
3 years ago
Read 2 more answers
Other questions:
  • Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24
    10·1 answer
  • A submarine dives 280 feet below the water surface. It then rises back up to wards the surface at 55 feet per minute for 5 minut
    8·1 answer
  • Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
    8·1 answer
  • Pls help 40 points<br>this is my last chance to get extra points pls serious answers ​
    11·1 answer
  • ANSWER WELL WITH GOOD EXPLANATION AND IF IT IS GOOD THEN I WILL GIVE BRAINLY AND DONT ANSWER OR POINTS OR I WILL REPORT
    11·2 answers
  • The sum of two numbers is 5. The difference of two numbers is -1. Find the numbers
    7·2 answers
  • Hi, could someone solve this parametric system?
    10·1 answer
  • Simplify (-8.5)X(-5)( -2).
    10·2 answers
  • Find the smallest value of pq if <br> -3
    13·1 answer
  • Only 4 b and c please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!