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
olga55 [171]
3 years ago
15

Prove that sin²a + cos²a = 1 and =

le="\frac{1}{cos^{2}a }" alt="\frac{1}{cos^{2}a }" align="absmiddle" class="latex-formula"> + tan²a (a not alpha)

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

\frac{1}{cos^2a }=  tan^2 a

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              \frac{1}{cos^{2} a}  \\= \frac{sin^2a+cos^2a}{cos^2a}  \\                         \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}

= tan²a + 1



You might be interested in
Given the following triangle solve for the unknown angle.
svetlana [45]
Since it is shown that 2 of the sides of the triangle are congruent, we can assume that they have the same angle measures.

so to solve for the missing angle you can set up an equation equal to 180 since all triangles add up to 180 degrees.
21 + 21 + x = 180
42 + x = 180
x = 138

the value of the missing angle should be 138 degrees

hope this helped
4 0
3 years ago
In APQR, PQ- QR. If map
Hitman42 [59]

Answer:

3x-120 = x - 30

2x -120 = -30

2x= 90

x= 45

3(45) -120 (plug x into angle p to check your answer)

135-120

15 degrees

45-30 (plug x into angle r to make sure it's the same thing as angle p)

15 degrees (they're equal so now figure out angle Q and answer the question)

180 - (15 +15)

180- 30

150 is the measure of angle Q

so, the triangle is an obtuse isosceles triangle

Step-by-step explanation:

7 0
3 years ago
: Use The TI Calculator To Answer The Question. Find The Probability That A Z-score Will Be Between 0.7 And 1.4. A) 0.242 O B) 0
ZanzabumX [31]

Answer:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case we want to find this probability:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

3 0
3 years ago
Read 2 more answers
What is the volume of the cone? Use 3.14 for π. Round your answer to the nearest hundredth.
Tasya [4]

Answer:178.71696m^3

Step-by-step explanation:

To find the volume of cone=1/3πr2h

To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.

7^2=h^2+3^2

h^2=49-9

h=√40

h=6.32m

V=1/3×3.142×3m×3m×6.32m

Therefore our answer is;

V=178.71696m^3

7 0
3 years ago
Equations with
andriy [413]
The anwser is 9
my handwriting is good but if you have any more questions plz lmk

3 0
3 years ago
Other questions:
  • Please help me !!!!!!!!
    12·1 answer
  • Translate to an inequality. The temperature is at most - 16 degrees Celsius. The sentence written as an inequality is ?
    6·1 answer
  • Write an equation of the line passing through each of the following pairs of points.
    11·2 answers
  • Mach each three dimensional figure it’s volume based on the given dimensions assume ll=3.14)
    15·1 answer
  • Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a mod
    14·1 answer
  • (i) Challenge: Thembi received 8% discount on an item which cost
    10·1 answer
  • Round 245,675 to the nearest hundred thousand
    12·1 answer
  • 2. Solve 3 + 4x &gt; –5 for x.<br> a. x -1.75<br> c. x &gt; -2
    11·2 answers
  • 17) 100 raffle tickets are sold at $5 a piece.
    9·1 answer
  • SOMEONE PLEASE HELP I WILL MARK U BRAINLIST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!