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
MakcuM [25]
3 years ago
13

If sin theta = -5/7 , which of the following are possible?

Mathematics
2 answers:
Sav [38]3 years ago
5 0

Solution:

we are given that

sin \theta=-5/7

As we know that

cos \theta =\sqrt{1-sin^2 \theta}  \\

Substitute the value we get

cos \theta=\sqrt{1-(\frac{-5}{7})^2}  \\
\\
cos \theta=\sqrt{1-(\frac{25}{49})}  \\
\\
cos \theta=\sqrt{(\frac{24}{49})} =\frac{\sqrt{24}}{7}\\

Since sec \theta=\frac{1}{cos \theta}\\

So here sec \theta=\frac{7}{\sqrt{24}}\\

As we know that

tan \theta=\frac{sin \theta}{cos \theta}\\
\\  \text{Substitute the values we get}\\
\\
tan \theta=\frac{-5/7}{\frac{\sqrt{24}}{7}}\\
\\
tan \theta=\frac{-5}{\sqrt{24}}\\

Hence the correct option is C.

aleksklad [387]3 years ago
5 0

It is given that

sin \theta = \frac{-5}{7}

And according to pythagorean identity, we will get

cos \theta = \pm \sqrt{1-sin^2 \theta}

Substituting the value of sin theta, we will get

cos \theta = \pm \sqrt{1- \frac{25}{49}}
\\
cos \theta = \pm \frac{\sqrt{24}}{7}

and sec theta is the reciprocal of cos theta.

SO possible values of sec theta are

sec \theta = \pm \frac{7}{ \sqrt{24}}

And tan theta is the ratio of sin theta and cos theta

So possible values of tan theta are

tan  \theta = \pm \frac{5}{ \sqrt{24}}

So the correct options are B and C .

You might be interested in
Write expression in words: 6/y​
Vika [28.1K]

Answer: y divided by 6

Step-by-step explanation:

/ is a division sign

4 0
3 years ago
A rhombus has a perimeter of 484 feet. What is the length of each side of the rhombus?
LenKa [72]
Each side of the rhombus is 121 feet
5 0
3 years ago
2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)
Maru [420]

Answer:

\large\boxed{\sf x = \frac{8y+1}{7} }

\large\boxed{\sf x = \frac{7x-1}{8} }

<u>Group the Variable's</u>:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

<u><em>From this find x and y</em></u>

<u>For X</u>

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

<u>For Y</u>

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

3 0
2 years ago
Read 2 more answers
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b
Murrr4er [49]

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

6 0
3 years ago
What is 0.279 times 53
sweet-ann [11.9K]
The answer to this problem would be:
0.279 x 53 = 14.787
4 0
3 years ago
Other questions:
  • Expanded form of 5.921
    14·1 answer
  • A sandwich shop offers 4 different kinds of bread and 6 different kinds of meat. How many different sandwiches can be made using
    8·2 answers
  • Is 35% greater than less than or equal to 3.0​
    10·2 answers
  • A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tal
    5·2 answers
  • Best explained and correct answer gets brainliest.
    8·1 answer
  • The area of a square battlefield was 22,500 square miles. How long will it take a group of soldiers to cross the field diagonall
    15·1 answer
  • HELP QUICK IM BEING TIMED!
    11·2 answers
  • Expand and simplify (x + 3)(x-4)
    14·2 answers
  • 13. A local car wash is open 8 hours each day.
    13·1 answer
  • Which of these graphs represents a function?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!