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
Ainat [17]
3 years ago
9

Verify the identity. Show your work. (1 + tan^2u)(1 - sin^2u) = 1

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
\bf \textit{Pythagorean Identities}
\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\ 1+tan^2(\theta)=sec^2(\theta)\\\\
-------------------------------\\\\\
[1+tan^2(u)][1-sin^2(u)]=1
\\\\\\\
[sec^2(u)][cos^2(u)]\implies \cfrac{1}{cos^2(u)}\cdot cos^2(u)\implies \cfrac{cos^2(u)}{cos^2(u)}\implies 1
You might be interested in
Please help!!
jenyasd209 [6]

Answer:

x = - 3

y = - 2

Step-by-step explanation:

Start with the second equation. Switch

3y = 2x               Divide by 3

3y/3 = 2x/3

y = 2x/3

Now go to the first equation. Put the value for y in the first equation.

x - 3(2x/3) = 3      Cancel the 3s on the left.

x - 2x = 3              Combine

-x = 3                    Multiply by -1

-1(-x) = 3(-1)

x = - 3

Now go back to the original equation I have called the second equation

2x = 3y

2(-3) = 3y                  Put in - 3 for x

- 6 = 3y                     Divide by 3

-6 / 3 = y

y = - 2


8 0
3 years ago
Please help i really need it
dezoksy [38]
Answer: Perpendicular Bisector
3 0
2 years ago
Read 2 more answers
7(6m - 4) = -364 pls try and show work thanks!
quester [9]

Answer:

7(6m - 4) = -364

multiply 7 for both variables in the parenthesis

42m - 28 = -364

move 28 to other side

42m= -336

divide 42 on both sides

m= -8

3 0
2 years ago
Read 2 more answers
What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32
olganol [36]
96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3
8 0
3 years ago
Find the value of x,
Gekata [30.6K]

Answer: x = -7

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

First Side = 7

Second Side = x + 14

<u>Given expression deducted from the definition of an isosceles triangle</u>

Second Side = First Side

<u>Substitute values into the expression</u>

x + 14 = 7

<u>Subtract 14 on both sides</u>

x + 14 - 14 = 7 - 14

\boxed{x=-7}

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
Other questions:
  • Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible
    10·1 answer
  • A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He
    12·1 answer
  • The length of a rectangular garden is 20 feet and the width is 15 feet. What is the ratio of length to width?
    15·1 answer
  • Which expression is equivalent to 6x - 3y?
    9·2 answers
  • Find the <br> n<br> th<br> term of the sequence that starts with 31, 35, 39, 43
    12·1 answer
  • 3) The measure of the angle which is equal to its supplement is
    9·1 answer
  • Consider these signed numbers and determine whether each product is positive or negative.
    10·1 answer
  • What is the volume of the box with a height of
    9·1 answer
  • Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.<br> A. 216<br> B. 18<br> C. 32<br> D. 54
    7·1 answer
  • What is the range of f?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!