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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!

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PLease help me LOTS of points
notsponge [240]

Answer:

15) a) 8

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c) y - 1

16) True

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4 0
3 years ago
Please help now asap
rusak2 [61]

Answer:

(4 ,26)

Step-by-step explanation:

Try to locate the intersection point of the graph of f and the graph of g

which the point with coordinates (4 , 26)

3 0
3 years ago
Read 2 more answers
How do you do this problem?
faust18 [17]

The volume of the original cylinder is

... V = π·r²·h

For r=1 and h=1, this is

... V = π·1²·1 = π

For the new cylinder, the volume is 1.089 times that amount.

... V = 1.089π = π·1.1²·(1-k)

... 1.089/1.21 = 1-k

... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%

The appropriate choice is (B) 10.

7 0
3 years ago
Read 2 more answers
Solve 11 ≤ w + 3.4 i dont know the answer please help me
shepuryov [24]

Answer:

7.6 ≤w

Step-by-step explanation:

Hey there!

In order to solve this inequality, you need to simplify the inequality like the following:

Subtract 3.4 from both sides

7.6 ≤w

This means that w is greater than or equal to 7.6

6 0
2 years ago
a cone with radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown find the volume of the total figure
Darina [25.2K]

Answer: Volume of the cone = 47.12 cubic feet.

Step-by-step explanation:

You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.

To solve for the full volume including the cylinder, use the cylinder's volume formula.

Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.

Volume of a cone is pi(r^2)(h/3)

plug and chug!

h stands for height and r stands for radius.

5 0
2 years ago
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