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
Dominik [7]
2 years ago
11

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

Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0

Answer:

\large\boxed{\sec\theta=\dfrac{7}{\sqrt{24}},\ and\ \tan\theta=-\dfrac{5}{\sqrt{24}}}\\\boxed{\cos\theta=\dfrac{\sqrt{24}}{7},\ and\ \tan\theta=\dfrac{5}{\sqrt{24}}}

Step-by-step explanation:

\text{Use:}\\\\\sin^2\theta+\cos^2\theta=1\to\cos\theta=\pm\sqrt{1-\sin^2\theta}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\sec\theta=\dfrac{1}{\cos\theta}\\\\==========================\\\\\sin\theta=-\dfrac{5}{7}\\\\\cos\theta=\pm\sqrt{1-\left(-\frac{5}{7}\right)^2}=\pm\sqrt{1-\frac{25}{49}}=\pm\sqrt{\frac{24}{49}}=\pm\dfrac{\sqrt{24}}{\sqrt{49}}=\pm\dfrac{\sqrt{24}}{7}\\\\\sec\theta=\pm\dfrac{1}{\frac{\sqrt{24}}{7}}=\pm\dfrac{7}{\sqrt{24}}

\tan\theta=\pm\dfrac{-\frac{5}{7}}{\frac{\sqrt{24}}{7}}=\mp\dfrac{5}{7\!\!\!\!\diagup_1}\cdot\dfrac{7\!\!\!\!\diagup^1}{\sqrt{24}}=\mp\dfrac{5}{\sqrt{24}}

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

You might be interested in
5/6x-4=-2 Sole the equation, thanks!
ira [324]
5/6x -4 = -2
5/6x = 2
multiply both sides by 6 to get rid of the fraction.
5x = 12
x = 2.4
8 0
3 years ago
Read 2 more answers
A pyramid has a square base with side s. the hight of the pyramid is 2/3 that of its side. What expression for the volume of the
Bess [88]

i have no clue sorry i cant help you :)

6 0
3 years ago
19. What is the equation of the line in slope-intercept form that passes through the point (24,9) and 1/8
Y_Kistochka [10]

Answer:

y=1/8x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-9=1/8(x-24)

y=1/8x-24/8+9

y=1/8x-3+9

y=1/8x+6

6 0
3 years ago
Plz help i need to finish this asap so i can graduate
Sloan [31]
F(x) = x^2 + 3x + 2
if g(x) is the reflection of f(x) across the x - axis then
g(x) = -f(x)
g(x) = - (x^2 + 3x + 2)
g(x) = - x^2 - 3x - 2
8 0
2 years ago
??!?!?!?!?!!?!?!?!!?!!!?!!!!?
Nikitich [7]

Answer:

The third option, a rational number

like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)

it would be 0.2 + 2.5 = 2.7 btw

or

1/5 + 5/2

= 2/10 + 25/10

= 27/10

6 0
3 years ago
Other questions:
  • How to find common denominators
    15·1 answer
  • A cylinder has a radius of 3 cm and a height of 24 cm. What is the total surface area for both circles of the cylinder? Use 3.14
    9·1 answer
  • Ads Galore makes posters with standard dimensions of inches by 11 inches as shown.
    12·1 answer
  • At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,
    6·1 answer
  • You are thinking of using a t procedure to construct a 95% confidence interval for the mean of a population. You suspect the dis
    10·1 answer
  • How many thirds are in 2/9
    8·2 answers
  • Lisa runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
    13·1 answer
  • Set up a proportion to solve for x in the following similar triangles.
    8·1 answer
  • 20 points brainliest!!!!
    15·2 answers
  • What is math for<br><br>like what do we use it for whats the point of math no one uses it
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!