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
Misha Larkins [42]
3 years ago
12

Which expression is equal to –1? cot StartFraction pi Over 4 EndFraction sin StartFraction pi over 2 EndFraction sin StartFracti

on 3 pi Over 2 EndFraction tan StartFraction 5 pi Over 4 EndFraction
Mathematics
1 answer:
Bumek [7]3 years ago
7 0

Given:

The four expression in the options.

To find:

Which expression is equal to –1.

Solution:

In option A,

\cot \left(\dfrac{\pi}{4}\right)=1

In option B,

\sin \left(\dfrac{\pi}{2}\right)=1

In option C,

\sin \left(\dfrac{3\pi}{2}\right)=\sin \left(\pi+\dfrac{\pi}{2}\right)

\sin \left(\dfrac{3\pi}{4}\right)=-\sin \left(\dfrac{\pi}{2}\right)   [\because \sin(\pi+\theta)=-\sin \theta]

\sin \left(\dfrac{3\pi}{4}\right)=-1

In option D,

\tan \left(\dfrac{5\pi}{4}\right)=\tan \left(\pi+\dfrac{\pi}{4}\right)

\tan \left(\dfrac{5\pi}{4}\right)=\tan \left(\dfrac{\pi}{4}\right)   [\because \tan(\pi+\theta)=\tan \theta]

\tan \left(\dfrac{5\pi}{4}\right)=1

Therefore, the correct option is C.

You might be interested in
PLEASE HELP -7y + 11 = 75 + y
Masja [62]

Answer:

y = -8

Step-by-step explanation:

-7y + 11 = 75 + y

Bring the <em>"</em><em>y</em><em>"</em><em> </em>variable on one side, and rest on the other.

Rearranging, we get,

-7y - y = 75 - 11

-8y = 64

-y = 8

y = -8

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

3 0
2 years ago
PLEASE HELP!!!!!!!!! 100 POINTS !!!!!!!!!!
schepotkina [342]

Answer:

the answer is 5/6

Step-by-step explanation:

the company is not the first BFF to come to mr as default

3 0
2 years ago
Read 2 more answers
What is seven times 5
Elodia [21]

Answer:

35 cuh

_____________________________________________

6 0
2 years ago
Is 5:20 and 15:60 equivalent
kati45 [8]

Answer:

Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.

Step-by-step explanation:

Hope this helps <3

5 0
3 years ago
How many tiles would it take to cover the Washington monument?
aalyn [17]
Ummm what mush is it is a good thing you can get it to get it and you can see it and then get it done
4 0
3 years ago
Other questions:
  • 3/4x+5/6=5x-125/3 solve for x
    9·1 answer
  • WILL GIVE 20 POINTS HELP ASAP!!
    8·1 answer
  • What is the slope and y-intercept of the graph of the equation?
    13·2 answers
  • As quick as possible please <br><br> What is another name for &lt;1?
    13·1 answer
  • What is the area of this parallelogram
    8·1 answer
  • 4<br>Fill in the blanks to complete the following number patterns.<br>13, 18,___, 31, 39, 49​
    12·1 answer
  • If i^2 = -1. , what does i^71 equal?
    14·1 answer
  • What is the solution to this equation?
    15·1 answer
  • ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Briann
    11·1 answer
  • (-5) - (+2) + (+2) - (-5)​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!