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
Alinara [238K]
3 years ago
11

In Exercises 5-7, find all the exact t-values for which the given statement is true,

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:  See Below

<u>Step-by-step explanation:</u>

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians:     t = 0π + 2πn

In degrees:   t = 0° + 360n

******************************************************************************

6)\quad sin (t) = \dfrac{1}{2}

Where on the Unit Circle does   sin = \dfrac{1}{2}

<em>Hint: sin is only positive in Quadrants I and II</em>

\text{Answer: at}\  \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)

\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n

In degrees:    t = 30° + 360n  and  150° + 360n

******************************************************************************

7)\quad tan (t) = -\sqrt3

Where on the Unit Circle does    \dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)

<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>

\text{Answer: at}\  \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)

\text{In radians:}\ t = \dfrac{2\pi}{3} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{3} + 2\pi n

In degrees:    t = 120° + 360n  and  300° + 360n

You might be interested in
And Again|||||||||||||||||||||||||||||||||
bogdanovich [222]

Answer:

free points TYSM!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The following figure shows the first two steps of a proof of the Pythagorean theorem. Which of the following statements about th
weeeeeb [17]

Answer:

c^2>a^2+b^2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
April 6,2020
Allisa [31]

Answer:

287 books

Step-by-step explanation

there was already 239 books. when the problem mentoins that Mary ADDS MORE books to the shelf, the operation is addition.

239+48=287

5 0
3 years ago
Solve z^2-2z-35=0 using the zero product property
Sveta_85 [38]
Well z=5 and z=-7 hope this is the correct answer

3 0
3 years ago
7,945\100 Is the equal as which number?
Katena32 [7]

Answer:

79.45

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • salt water has a density of 1030 kg/m^3. a piece of wood with mass of 1260 g is a cuboid with dimensions 7 cm x 10 cm x 15 cm.Wi
    12·1 answer
  • Find the slope of the line that passes through each pair of points
    14·1 answer
  • What is the sum of the angle measures of a 37 gon?
    8·1 answer
  • Which point is on the line that passes through point R and is perpendicular to line PQ? (–6, 10) (–4, –8) (0, –1) (2, 4)
    12·2 answers
  • Solve for y: x/y - 8 = w
    10·1 answer
  • An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.
    7·1 answer
  • A $125 item is discounted 28%. Find the amount of discount.
    15·1 answer
  • Very easy answer but does any one know what C is
    13·2 answers
  • The Medicare tax rate is 1.45% how much would be withheld form someone paycheck for Medicare with wages of $1,738 for that pay p
    8·1 answer
  • Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!