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
Delvig [45]
3 years ago
11

Prove the identity and include the rule

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Hi there!

To begin, we can distribute sec²x with (1 - sin²x):

= sec²x - sec²xsin²x

Which simplifies to:

= sec²x - tan²x

Recall the Pythagorean identity:

1 + tan²x = sec²x

Rearrange alike to the solved for expression above:

<u>1 = sec²x  - tan²x</u>

<u>Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.</u>

You might be interested in
PT = 7x + 8 and TQ = 9x - 6
erastova [34]

Answer:

t is 7

Step-by-step explanation:

i did it

4 0
3 years ago
Jason has to finish the 40% of an art project that Has taken him a total of two hours so far if he continues to work at the same
Nitella [24]

Answer:

in total 5 hours

Using proportions part/whole, percent/100 you put the 40 in the percent spot and the 2 in the part spot cross multiply and divide so 2 x 100 divided by 40 and you get 5

6 0
2 years ago
Find the square root of each. If the radicand is not a perfect square, estimate the square
Shkiper50 [21]
First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.

2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72

3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
3 0
3 years ago
Read 2 more answers
Verify sin4 x- sin2x = cos4x – cos2x is an identity
Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0
3 years ago
Solve (X-3)^2/3=9 (the ^ is an exponent)
Olenka [21]

Step-by-step explanation:

Step-by-step explanation:

To answer the question you have t the square of the differences.

So this means that (x-3)^2= x^2-9x+9

Next youmultiply 3 on both sides which says…

x^2-9x+9=27

x^2-9x=18

So, x equals

9/2+3/2 square root 17

OR

9/2-3/2 square root 17

4 0
3 years ago
Other questions:
  • I need someone whose willing to help me with the other 100 questions i dont know (not joking) BUT PLS HELLPPPP
    5·1 answer
  • What is the word name for 20,004
    12·1 answer
  • Round 7.38 to the nearest tente
    15·2 answers
  • I WILL AWARD BRAINLIEST!!!! PLEASE HELP!!
    13·1 answer
  • Cost:$10.00markup rate:60%find the selling price:
    9·1 answer
  • A spinner and 2 cards are shown below:
    15·2 answers
  • What is the difference of the mass of the plants from week 1 to week 2?
    14·1 answer
  • Question 30
    13·1 answer
  • Solve the following equation:<br> 1.3(a + 2) + 5.6 = 17.3
    7·1 answer
  • Please solve with explanation
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!