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
inysia [295]
3 years ago
7

If sin theta = -0.7660, which of the following represents an approximate value of tan theta, for 180 degrees < theta < 270

degrees?
Mathematics
1 answer:
Elis [28]3 years ago
4 0
We have that
sin ∅=-0.7660

the sin ∅ is negative
so 
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428

tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917

the answer is
tan ∅ is 1.1917
You might be interested in
What is 12 hours after 6:49 A.M
choli [55]
The answer is 6:49 pm
7 0
3 years ago
Read 2 more answers
A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is t
jeka57 [31]

Answer:

  • firstly understand the statement
  • identify your sides
  • don't forget SOHCAHTOA

7 0
3 years ago
Khloe has 28 coins in her collection. That is five more than kourntey has. How many does kourtney have?
AnnyKZ [126]

28 is five more than 23

7 0
3 years ago
Read 2 more answers
Given that the hypotenuse of a triangle is c, which is the Pythagorean Theorem? a2 + c2 = b2 a2 – b2 = c2 2a + 2b = 2c none of t
Alexandra [31]
The pythagorean theorem states that a^2+ b^2=c^2.
Final answer: None of the above
6 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the system of inequalities?
vivado [14]
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign. 

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1). 

Substitute 3 to x and determine the value of y from the second inequality.
 2y ≥ x - 4

Substituting,
  2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one. 
6 0
3 years ago
Other questions:
  • What is the absolute value of the complex number -4-sr2i
    8·1 answer
  • a drink bottler needs to fill 40 one pints bottles and he has two tanks one that contains 2 gallons of soda and a second that co
    8·2 answers
  • one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5
    5·1 answer
  • Please help meee!!! It's urgent!!!<br><br> What is the equation of the line shown in this graph?
    13·1 answer
  • The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
    11·1 answer
  • What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
    13·1 answer
  • What is the x intercept of 2x + 4y = 20
    12·2 answers
  • Solve for x. Round to the nearest tenth of a degree, if necessary PLEASE HELP I HAVE 10 MINS TILL ITS DUE
    13·2 answers
  • Im having a hard time on edge any tips?
    15·2 answers
  • Use the similar triangles below to find the height of the tree
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!