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
Anvisha [2.4K]
3 years ago
5

Help me, its trigonometry college

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.  \frac{\sqrt{3}} {3} does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3.  So our numerator is 1/2 and our denominator is sqrt(3)/2.

And remember tangent is just sin/cos.  So what degree has sinx as 1/2 and and cosx as sqrt(3)/2?  Well, 30 degrees does, but 30 degrees is not within the range we are given.  That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.

And 210 degrees in radians is 7pi/6.

I hoped that made sense.

(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2?  According to the unit circle, 150 degrees and 210 degrees does.  They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.

5) What quadrant is radian measure 5 in?

Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.

But to be sure let's change 5 radian to degrees:

5 * 180/pi = 900/pi = 286.48 degrees

286.48 degrees is definitely in Q4, so we are correct.




You might be interested in
How do i find the are and perimeter of the composite figure?
sineoko [7]

Answer:

perimeter :

4+10+4+ (pi * radius) .........."radius =5"

area:

(10*4)+(0.5 * pi * r square)

7 0
3 years ago
Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
jan, mya, and sara ran a total of 64 miles last week. jan and mya ran the same number of miles. sara ran 8 less miles than jan a
kherson [118]
x-\ Jan's\ destination\\\\y-\ Mya's \ destination \\\\ z-\ Sara's\ destination\\\\\
x+y+z=64\\
x=y\\
z-8=2x\\\\
x+x+z=64\\
z=2x+8\\\\
2x+2x+8=64\\\\
4x+8=64\\\\
4x=64-8\\\\
4x=56\ \ |:4\\\\x=14\\\\z=2x+8=2*14+8=28+8=36\\\\ Sara\ ran\ 36\ miles.
5 0
3 years ago
Please help me with #4 <br> (10 points )
myrzilka [38]

Answer:

40 feet

Step-by-step explanation:

We are given a right isosceles triangle having lengths of two sides 12 feet and 16 feet.

<em>Since, the triangle is an isosceles triangle i.e. two sides of the triangle are equal.</em>

That is, the three sides of the triangle are 12 feet, 12 feet and 16 feet.

We know that, Perimeter of a triangle = Sum of the sides

Thus, Perimeter of the given triangle = 12 + 12 + 16 = 24 + 16 = 40 feet.

Hence, the total length of the fencing needed is 40 feet.

8 0
3 years ago
A 3-ounce serving of tuna provides 21 g of protein use equivalent ratios to find how many grams of protein are in 9 ounces of tu
cluponka [151]
Since 3 ounces=21 g of protein, you would multiply 21 g x 3, because 6 ounces would = 42g. using that principle 3×3 = 9 & 21×3 = 63.
4 0
3 years ago
Other questions:
  • Choose the correct answer for the amount of interest earned in the following simple interest problem. A deposit of $4,000 at 9.5
    9·2 answers
  • Jonathan bought a car for $10,500. The car depreciates in value by 16% each year. How much is the
    10·2 answers
  • A store charges $20 for 15 candy bars. at this rate how much would they charge for 18 candy bars.
    12·2 answers
  • If f(x) = x + 7 and g(x) = 1/x -13, what is the domain of (f O g)(x)
    15·2 answers
  • I need to know<br><br> 18=3|x-1|
    9·1 answer
  • The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisi
    13·1 answer
  • A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
    15·1 answer
  • Can someone please help me .
    8·1 answer
  • WILL GIVE BRANLIEST!!!!!!!!!!!!!
    6·1 answer
  • On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students we
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!