3 years ago

Find the exact value of sec(-4π/3

1 answer:

3 0

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).

You might be interested in

If f(x) = 3^x and g(x) = 3^(x+1)+6. Describe the transformations from f(x) to g(x).

OlgaM077 [116]

To move tot he right h units, subtract h from every x to move up k units, add k to the whole equaiton added 1 to every x (subtract -1) added6 to whole thing moved -1 to right (moved 1 to left) moved up 6 units answer is A

5 0

3 years ago

A jacket usually sells for $66.00. If the jacket is 30% off, and sales tax is 8%, what is the total price of the jacket, includi

RideAnS [48]

Answer:

$50.54

Step-by-step explanation:

$66.00 x .30 = $46.80 x .08 = 3.74 + 46.80 = $50.54

7 0

3 years ago

Solve the system. x = y +2 3x = 6 (y + 2)

Zielflug [23.3K]

Answer:

(x , y)=(0 , -2)

Step-by-step explanation:

5 0

2 years ago

In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer t

prohojiy [21]

To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.

8 0

3 years ago

Simplify 5+4x(8-6)^2 please help me please hurry please

Fed [463]

5+16x.......................

7 0

3 years ago