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]
3 years ago
12

Sec square 75 degree + cot square 15 degree ​

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0

Answer:

Step-by-step explanation:

but

You work for the final answer.

Lelechka [254]3 years ago
3 0

Answer:

(6 +√3) / (2 - √3).

Step-by-step explanation:

sec 75 = 1/cos 75

cos 75 = cos45cos30 - sin45sin30

= 1/√2 * √3/2 - 1/√2 * 1/2

= (√3 - 1 )/ 2√2.

cos^2 75

=  (√3 - 1 )^2 / (2√2)^2

= (3 - 2√3 + 1 / 8

= (2 - √3) / 4

So sec^2 75  = 4 / (2 - √3)

tan 15 =  tan (45 - tan 30)

= tan 45 - tan 30 / 1 + tan45 tan30

= ( 1 - √3/3 ) / (1 + 1 * √3 / 3)

= (3 - √3) / (3 + √3)

tan^2 15 =  (9 - 6√3 + 3) / (9 + 6√3 + 3)

= 12 - 6√3  (12 + 6√3)

=  2 - √3 / 2 + √3

So cot^2 15 = (2 + √3) / (2 - √3)

Finally sec^2 75 + cot^2 15

= 4 / (2 - √3) +  (2 + √3) / (2 - √3)

= (6 +√3) / (2 - √3)

You might be interested in
One solution to 3x+9+4x+x
Katyanochek1 [597]

Answer:

8x+9

Step-by-step explanation:

Add the like terms together.

3x+9+4x+x = 8x+9

5 0
3 years ago
Read 2 more answers
A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
Allisa [31]

Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
What is the perimeter of a quadrilateral with vertices at (3,-6),(8,-6),(3,-4), and (8,-4)
Eduardwww [97]

Answer:

im sorry i dont know but this is for a challenge

Step-by-step explanation:

3 0
2 years ago
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a numb
just olya [345]

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let a be a number.

When we multiply a number by 10:

a \times 10 = 10 a (One '0' is increased in the number)

For example:

23 \times 10 = 230

Considering a decimal number:

2.3 \times 10 = 23

Multiplying a number with 0.1 (which is actually \frac{1}{10}) means dividing the number by 10.

23\times 0.1 =23\times \frac{1}{10}=2.3

Considering a decimal number:

2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23

<em>Therefore, When multiplying a number by 0.1, move the decimal to the left.</em>

6 0
3 years ago
Read 2 more answers
Ryan made 65 ounces of apple jelly he put the same amount of jelly into six jars about how much jelly did each jar get
Elodia [21]

Answer:

10.8333......

Step-by-step explanation:

First 65 divided by 6 is equal to 10.8333......

So the answer was 10.8333......

6 0
3 years ago
Other questions:
  • A.S.A.P PLEASE HELP
    14·1 answer
  • If you buy 6 boxes of cereal for $10, how much will 9 boxes of cereal cost?
    8·1 answer
  • Plz help me!
    12·2 answers
  • What is the slope of the line through the points (-2, 4) and (5, -1)?
    7·1 answer
  • Find the area of the circle with the given radius or diameter. Use = 3.14. r = 2 A =? 6.28 sq. units
    13·2 answers
  • Can someone help me in question #5 please
    12·1 answer
  • Please answer this and put it in simplest form
    8·2 answers
  • I need help with this please
    10·2 answers
  • HELP ASAP 50 POINTS ITS GEOMENTRY
    10·2 answers
  • What is the formula for finding the Volume of a cylinder?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!