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
REY [17]
3 years ago
9

Verify the identity​

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

sin x                                 1

-------------------              = -----------

sec^2 x - tan ^2 x               csc x

Sec = 1/cos   and tan = sin/cos

sin x                                         1

-------------------                     = -----------

1/ cos ^2 x -sin^2/cos ^2 x       csc x

Factor the denominator

sin x                                         1

-------------------                     = -----------

(1-sin^2 x)/ cos ^2 x                csc x

We know that 1 - sin^2 x = cos ^2

sin x                                         1

-------------------                     = -----------

(cos^2 x)/ cos ^2 x                csc x

sin x                                         1

-------------------                     = -----------

1                                               csc x

Multiply the top and bottom of the left hand side by 1/ sin x

sin x  * 1/ sin x                              1

-------------------                     = -----------

1     * 1 sin x                             csc x

1                                                1

-------------------                     = -----------

       1 sin x                             csc x

We know that 1/sin x = csc

1                              1

---------               = -----------

csc (x)                   csc x

You might be interested in
A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone and it does
Colt1911 [192]
There is two possible conic section that can be formed when the plane intersects the vertical axis, a circle, and an ellipse. Cutting one nappe of double napped cone perpendicular to the vertical axis means the cut is straight across the cone making a right angle. The conic section formed would be a circle. 
7 0
3 years ago
Read 2 more answers
I need to know the answer plz
sergij07 [2.7K]

Answer:

the answer is c.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Can someone help me out on these geometry questions? Its urgent, gotta have answers fast
almond37 [142]

5) Transitive property of equality

6) Addition property of equality

7) Subtraction property of equality

8) Division property of equality

9) Multiplication property of equality

10) Transitive property of congruence

11) Substitution property of equality

12) Addition property of equality [add XY to both sides then use segment addition postulate]

13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]

14) Angle addition postulate

15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]

16) Transitive property of equality

6 0
1 year ago
Find the point on the directed segment from (−3, −2) to (4, 8) that divides it into a ratio of 3: 2
White raven [17]

Answer:

I think this is the correct answer

6 0
3 years ago
Solve to get the value of h
iragen [17]
The answer to the question is h=64 degrees
4 0
2 years ago
Read 2 more answers
Other questions:
  • A dataset has 1000 records and 50 variables with 5% of the values missing, spread randomly throughout the records and variables.
    9·1 answer
  • You use a crowdfunding website to raise money. The website keeps 5% of each donation. Five of your friends each donate the same
    12·1 answer
  • Sue wrote a doubles fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she ha
    12·1 answer
  • 5x— 2y = 10<br> What is the perpendicular slip given the following equation
    6·1 answer
  • Write the fraction or mixed number as a percent 7/8
    9·2 answers
  • suppose you make $12 an hour as a lifeguard at the community pool during the summer let h represent the number of hours you work
    6·2 answers
  • Suppose logbx = logcx, where b ≠ c. Then the value of x can be
    14·1 answer
  • Solve each question -15=7n+8n=
    10·2 answers
  • What is the answer to:simplify 4p-5(p+6)?
    11·2 answers
  • One less than twice a number x is more than 5.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!