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
babymother [125]
3 years ago
12

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

eta less-than 2 pi?
Mathematics
2 answers:
Elanso [62]3 years ago
7 0

Answer:

The answer is \sqrt{2

Step-by-step explanation:

I took the quiz on edge and got a 100

Rashid [163]3 years ago
6 0

Answer:

sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

Step-by-step explanation:

Start by noticing that the angle \theta is on the 4th quadrant (between \frac{3\pi}{2} and 2\pi. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-1=\frac{sin(\theta)}{cos(\theta)}\\-cos(\theta)=sin(\theta)

The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle \frac{7\pi}{4}

which renders for the cosine function the value \frac{\sqrt{2} }{2}.

Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: sec(\theta)=\frac{1}{cos(\theta)}

Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is: sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

You might be interested in
A:104<br> B:24<br> C:240<br> D:26 <br> Help me
trapecia [35]

Answer:

W = 24

Step-by-step explanation:

Is means equals and of means multiply

W = 48% * 50

Change percent to a decimal

W = .48 * 50

W = 24

6 0
3 years ago
Read 2 more answers
What is the position of 7 in the number 876,543
horsena [70]
876,543

7 is <span>tens of thousands.</span>
6 0
3 years ago
The table represents a linear function. <br><br> What is the slope of the function?
otez555 [7]

Answer:

-6

Step-by-step explanation:

The slope of a line is given with the formula

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, (-2, 8) and (-1, 2), we have

m = (2-8)/(-1--2) = -6/(-1+2) = -6/1 = -6

4 0
3 years ago
Read 2 more answers
Help please no need for explanation
dusya [7]
It would be A=45, but i don't understand why you have a 3 above your answer
8 0
3 years ago
Read 2 more answers
Which function has the graph shown? <br> PLEASE HELP
elena-14-01-66 [18.8K]
Try graphing them in desmos
4 0
3 years ago
Other questions:
  • Log_2(log_5 x) =3 show steps
    15·1 answer
  • You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up the ratio of head
    9·1 answer
  • What is magma? a. The molten mixture of rock-forming substances, gases, and water from the mantle.. c. Hardened lava on the surf
    7·1 answer
  • Need help on this problem asap
    13·1 answer
  • Please answer this question correctly!
    8·1 answer
  • Solving Exponential Equations (lacking a common base) <br> Solve the exponential equation 6u = 22
    14·2 answers
  • Solve the system... I will mark you brainliest!!!!!!
    9·1 answer
  • A number is taken away from 40 and the result is 45 What is the number?​
    10·1 answer
  • Plz help I’m not good with math!!
    11·1 answer
  • 5/4+5/4=_ × 1/4 plz help me​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!