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
snow_tiger [21]
3 years ago
7

Please simplify the following trigonometric identity.

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

<u>Examining the question:</u>

We are given the expression:

\frac{1}{Sec(\alpha)-Tan(\alpha)}

We know from Basic trigonometry that:

Sec(\alpha) = \frac{1}{Cos(\alpha)}

Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}

<u>Simplifying the expression:</u>

Replacing these values in the given expression, we get:

\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }

Since the denominator of both the values in the denominator is the same:

\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }

We know that \frac{1}{\frac{a}{b} } = \frac{b}{a}, using the same property:

\frac{Cos(\alpha)}{1-Sin(\alpha)}

and we are done!

Vesna [10]3 years ago
7 0

Answer:

cos a

---------------------

1  -sin (a)

Step-by-step explanation:

We know that sec a = 1/ cos (a)  and tan a = sin (a) / cos (a)

1

---------------------

1/ cos (a)  -sin (a) / cos (a)

Multiply the top and bottom by cos (a)

1* cos a

---------------------

( 1/ cos (a)  -sin (a) / cos (a)) * cos a

cos a

---------------------

1  -sin (a)

You might be interested in
HELP NOW!!!What is the value of x?
Lapatulllka [165]

The answer is

Answer:

x=22



5 0
3 years ago
Read 2 more answers
Help!!!! YOU WILL BE REWARDED WITH BRAINLIEST AND 15 POINTS! HELP ASAP LOOK AT MY FILES THAT I UPLOADED
Naily [24]

Answer:

The second box plot best represents the data

6 0
3 years ago
The waitress and the hostess at a restaurant share the tips at the end of the shift. The average amount earned in tips between t
Hitman42 [59]
The waitress gets 45/75   = 3/5  of the tips 

so waitress gets 3/5 * 350 = $210 
8 0
3 years ago
Maria bought 5 tickets. She bought 3 tickets for her kids and 2 tickets for adults. Each ticket for kids costs $3.50 and adults
nasty-shy [4]
3.50 x 3 = 10.50

6.85 x 2 = 13.70
10.50 + 13.70 = 24.20
3 0
3 years ago
Read 2 more answers
Someone please tell me how to solve this
rewona [7]
The answer will be 21u^6v^8
6 0
3 years ago
Other questions:
  • A teacher instructs the class to construct the midpoint of a segment. Jeff pulls out his ruler and measure the segment to the ne
    14·1 answer
  • Please answer this question, will give brainliest!
    12·1 answer
  • Use the Remainder Theorem to completely factor p(x) = x ^3 + 7x ^2 + 11x + 5.
    15·2 answers
  • In algebra, you can use function _____ to express the idea that salary depends on the number of hours of training.
    9·2 answers
  • Please help! In a _ IRA, the contributions are taxable when deposited, but the money is
    15·1 answer
  • 3. Volunteer drivers are needed to bring 80 students to the championship baseball
    7·1 answer
  • What's 30 times 2 and then add 6?
    9·2 answers
  • Which number line can be used to find the distance between (4, –1) and (8, –1)?
    10·2 answers
  • Which of the following represents the distance between x and y on a number line?
    6·1 answer
  • Select all the sets of three side lengths that will make a triangle.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!