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
GalinKa [24]
4 years ago
5

10 points!!! please help :(

Mathematics
1 answer:
daser333 [38]4 years ago
7 0
To complete the identity, we need these fundamental identities:

1)\displaystyle{sec(x)=\frac{1}{cos(x)}

2) cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

\displaystyle{csc(x)= \frac{1}{sin(x)}


Thus, by identity 1 we have:

\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}

by identity :

\displaystyle{cos(\frac{ \pi }{2}-\theta)=cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)

recall the values :

\displaystyle{ sin(\frac{ \pi }{2})^R=sin(90^o)=1\\\\

\displaystyle{ cos(\frac{ \pi }{2})^R=cos(90^o)=0, 


so: 

cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)=0+sin(\theta)=sin(\theta)


Putting all these together, we have:


\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}= \frac{1}{cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)}= \frac{1}{sin(\theta)}}

which is equal to csc(\theta), by identity 3


Answer: D
You might be interested in
Can you do this its a slops
Cloud [144]

Answer:

1. 1/2, rise/run and since you rise one and run 2 it'll be 1/2

2. 7/0 = undefined automatically, there is no value(undefined) if there is no run

3. rise:   28 - 18         10             5

           _______ = _____ =  _____ = 5

run:         4 - 2             2             1  

4. 1, it rises 1 and runs 1

4 0
2 years ago
What is the inverse of the function f(x)= 6x-5/x+9
Fittoniya [83]

Answer:

To find the inverse, interchange the variables and solve for  

y .

f ^− 1 ( x )  =  − 9  −  x  −  √ (x ^2  −  18 x  +  201 )) /(12 ) , (− 9  −  x  +  √ (x ^2  −  18 x  +  201))  / (12 )

6 0
3 years ago
I need help I’ll give brainlist answer.
vodomira [7]

Answer:

All beside D

Step-by-step explanation:

4 0
3 years ago
Let f() = 3x - 1 and g(x) = 2x + 3 and find f(g(3))
Nadusha1986 [10]

Answer:

f(g(3)) = 26

Step-by-step explanation:

f(g(3))

g(3) = 2x + 3

= 2(3) + 3

= 6 + 3

= 9

f(9) = 3x - 1

= 3(9) - 1

= 27 - 1

= 26

6 0
3 years ago
Read 2 more answers
7-9. A deli sliced 13.7 kilograms of
xxTIMURxx [149]

Answer:

36.23 kilograms of roasted beef

Step-by-step explanation:

If deli sliced 13.7 kilograms (kg) of roasted beef one week

He sliced 22.53 kilograms (kg) the next week

Total sliced kilograms of roasted beef=13.7 kg + 22.53 kg

=36.23 kg

The deli sliced a total of 36.23 kilograms of roasted beef in the two weeks.

5 0
3 years ago
Other questions:
  • ( 9b - 3 ) ( b + 6 ) <br> Simplify this expression ! <br> Please answer this !!
    5·1 answer
  • Ralph wants to estimate the percentage of coworkers that use the company's healthcare. He asks a randomly selected group of 200
    15·1 answer
  • Which of the following has a circular cross section when the cross section is taken parallel to the base?
    15·1 answer
  • Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 7, 18, 18, 15, 17, 10, 1
    14·1 answer
  • What is the value of x if (13,84,x) is a Pythagorean triple?
    5·2 answers
  • Find the quotient 4÷38.
    11·1 answer
  • 5, 6, 7 8,? Plzzzzzzzz
    7·2 answers
  • NEED HELP ASAP WILL GIVE BRAINLY
    8·1 answer
  • Please help! WILL GIVE BRAINLIEST
    13·2 answers
  • A pair of sneakers cost $45 now. What would be the cost of the sneakers in ten years if the inflation rate is 7%? Estimate your
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!