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
liberstina [14]
4 years ago
10

Verify this identity: show work cot(x-pi/2)= -tanx

Mathematics
1 answer:
dmitriy555 [2]4 years ago
6 0
-tan(x) = cot(x - \frac{\pi}{2})
-tan(x) = \frac{cos(x - \frac{\pi}{2})}{sin(x - \frac{\pi}{2})}
-tan(x) = \frac{sin(x)}{-cos(x)}
-tan(x) = -tan(x)

There :).

The most important thing to note here is that cos(x-\frac{\pi}{2}) = sin(x)
and sin(x-\frac{\pi}{2}) = -cos(x)

Normally, over time you end up memorizing these two identities since you use them so often, but proving them is very easy:

cos(x-\frac{\pi}{2}) = cos(x)cos(\frac{\pi}{2}) + sin(x)sin(\frac{\pi}{2}) = cos(x)*0 + sin(x) * 1
= sin(x)

sin(x-\frac{\pi}{2}) = sin(x)cos(\frac{\pi}{2}) - cos(x)sin(\frac{\pi}{2}) = sin(x) * 0 - cos(x) * 1
= -cos(x)
You might be interested in
At which times could rory phone have been plugged into the charger?select three options
bezimeni [28]

Answer:

6

Step-by-step explanation:

4 0
3 years ago
Share a reward of $140 in a ratio of 2:5
storchak [24]
So first we divide 140 by 7 because our ratio is a total of 7 dollars to get 20
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140
3 0
3 years ago
X
slava [35]

Answer:

Equation 1 x=-16

Equation 2 m=-3

Step-by-step explanation:

Equation 1

3x-x=-24-6

2x=-32

x=-32/2

x=-16

Equation 2

-2m=16-10

-2m=6

m=6/-2

m=-3

6 0
3 years ago
Kate wants to build a fence around her yard. The width of the yard is one-third the length. The perimeter of the yard is 80 feet
bezimeni [28]
The length would be 30 feet, and the width would be 10 feet.
4 0
3 years ago
-f(x) = 2x + 6 Find f(-4)
jenyasd209 [6]
The answer is 1 Bcuz u have to first plug in -4 for f then solve the equation by adding like terms and dividing
4 0
3 years ago
Other questions:
  • Jill has $8.75. Jack has three times as much as Jill, but he spent $5.00 to buy a book. How much money does Jack have?
    5·2 answers
  • help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz! can anyone answer all of the unanswered questions in the
    14·2 answers
  • If someone works for $9.50 per hour and they get $247 how many hours did they work?
    12·2 answers
  • In how many ways can Tim draw a red or a green marble from a jar containing 20 red marbles and 4 green marbles?
    12·2 answers
  • Britney is buying a shirt and a hat at the mall. The shirt costs $33.20, and the hat costs $18.33. If Britney gives the sales cl
    13·1 answer
  • list all the integer x that satisfy both the simultaneous linear inequalities 5-x<3 and x÷2 +3<5
    7·1 answer
  • 1.) x - 4y = 11
    10·1 answer
  • Find the distance between the points (2, 3) and (2,8).​
    15·1 answer
  • The year of Average 11, 15, 17, X+1, 19, X-2, 3 is 14. Find median.​
    8·2 answers
  • All of the angles of a triangle must add up to what measure?<br> 180<br> 90<br> 45<br> 360
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!