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
sammy [17]
3 years ago
14

Trig help please Find the exact value of each trigonometric equation

Mathematics
2 answers:
gavmur [86]3 years ago
7 0

The exact value for the equation is true but I don't really think that's the question so anyways...

- 15.) The exact form for this equation is -13pi/3 and the decimal form -13.613...

- 16.) The exact form for this equation is 23pi/4 and the decimal form 18/064...

- 17.) The exact form is -7pi/2 as the decimal is -10.995...

- 18.) The exact is -29pi/6 and the decimal is -15.184...

GaryK [48]3 years ago
6 0

We know any trig problem that asks for exact values probably has something to do with 30° or 45° and their multiples.  That's \pi/6 and \pi/4; we're apparently doing radians in this one.

General rules off the top of my head: Coterminal angles (gotten by adding or subtracting multiples of 2π) have the same values for their trig functions , cosine is even, sine is odd, cosine negate supplementary angles, sine of supplementary angles is unchanged, and the cosine of an angle is the sine of the complementary angle.

15

\cos (- \frac{13\pi}{3}) = \cos( 13\pi/3-6(2\pi)) =\cos(\pi/3) = \frac 1 2

16

\csc(\frac{23 \pi}{4}) = \dfrac{1}{\sin (23\pi/4 - 3(8\pi/4))} = \dfrac{1}{\sin(-\pi/4)}= \dfrac{1}{- 1 /\sqrt{2}} = - \sqrt{2}

17

\sec(-\frac {7 \pi}{2}) = \dfrac{1}{\cos(-7\pi/2+ (4/2)(2\pi) )}= \dfrac{1}{\cos(\pi/2)} = \dfrac 1 0

That one is undefined

18

\cot(-\frac{29\pi}{6}) = \cot(-29\pi/6 + (18/6) (2 \pi)) = \cot(7\pi/6) \\= \tan(\pi/2 - 7\pi/6) = \tan(-4\pi/6)= \tan(-2\pi/3 + \pi) = \tan(\pi/3)= \sqrt{3}

Whoever created this math homework problem needs a lesson in writing and typesetting math.  Let's list the errors:

Exact -- capitalized

each equation -- there are no equations

0 to 2 pi for theta -- do they want us to find the values or find the thetas but not evaluate the trig function?

theta is spelled out, not typeset

trig functions shouldn't be typeset in italics

sec -(7 pi/2)  is a typo

Sometimes there's a space after the problem number sometimes there isn't

This is awful.  Demand more of your teachers and online exercises!

You might be interested in
Which statement is always true about a regular polygon?
polet [3.4K]

Answer:

All polygons have straight lines

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
reasoning: if you know that 9 x 20 = 180, how can you use this to find 9 x 24? explain your strategy.
Lostsunrise [7]
9 * 20 = 180

24 has 4 more than that, so multiply 9 to 4 and add it to 180.

9 * 4 = 36

180 + 36 = 216

So 9 * 24 = 216
4 0
3 years ago
Read 2 more answers
Give the unit rate for the better deal.<br><br> $81<br> 25 gal<br> or <br> $62.05<br> 20 gal
Elan Coil [88]

Answer:

$62.05 for 20 gallons

Sorry if I didn't get it correct. I don't really understand how you worded your question. <3

Step-by-step explanation:

$81 for 25 gallons =

81/25 = $3.24 for 1 gallon

$62.05 for 20 gallons =

62.05 / 20 = $3.10 for 1 gallon

6 0
3 years ago
3 1/4 / 2 3/8= a b/c
Mnenie [13.5K]

Answer:

3 divided by 2 is 1.5

1/4 divided by 3/8 is 1/8

Step-by-step explanation:

8 0
3 years ago
A circular field has arey 144001 square feet.<br> What is the radius of the field?
anzhelika [568]

Answer:

about 214.1

Step-by-step explanation:

Since pi r squared is the formula for a circle's area, you would do the opposite. First, you would divide 144001 by pi which is about 45,836.94. Then, you would find the square root of that which is about 214.1.

3 0
3 years ago
Other questions:
  • Write 10x10x10x10x10x10 as an exponent
    15·2 answers
  • Simplify completely quantity 2 x squared plus 20 x plus 32 all over x squared minus 2 x minus 80
    15·2 answers
  • Shawna sold half of her comic books and then bought ten more. She now has 35. With how many did she begin?
    15·1 answer
  • Please help with Geometry problems giving 25 points!
    14·1 answer
  • Directions: Solve each inequality and graph the solution on the number line.
    8·2 answers
  • 2 3/10x-5/7y-4 5/6y-2 4/5x
    13·1 answer
  • I.
    15·1 answer
  • Choose the equation of the vertical line passing through the point (−2, 3). (5 point)
    12·1 answer
  • PLEASE HELP FAST!! <br>1. Find x. Show your work.​
    7·1 answer
  • Maximo can hike 2 miles in 30 minutes. At this rate, how long will it take him to
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!