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
Airida [17]
3 years ago
12

Probe that:

29%20%7D%20%20%5Calpha%20%20%3D%201" id="TexFormula1" title=" \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1" alt=" \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Step-by-step explanation:

<h3>\sec \alpha  \sqrt{1 -  \sin ^{2}   \alpha }  = 1</h3>

Prove the LHS

Using trigonometric identities

That's

<h3>\cos ^{2}  \alpha  = 1 -  \sin^{2}  \alpha</h3>

<u>Rewrite the expression</u>

We have

<h3>\sec \alpha  \sqrt{ \cos^{2} \alpha  }</h3>

<h3>\sqrt{ { \cos }^{2}  \alpha }  =  \cos \alpha</h3>

So we have

<h3>\sec  \alpha  \times  \cos \alpha</h3>

Using trigonometric identities

<h3>\sec \alpha  =  \frac{1}{ \cos \alpha }</h3>

<u>Rewrite the expression</u>

That's

<h3>\frac{1}{\cos \alpha }  \times  \cos \alpha</h3>

Reduce the expression with cos a

We have the final answer as

<h2>1</h2>

As proven

Hope this helps you

You might be interested in
Write the name of the period that has the digits 913
salantis [7]
Nine hundred thirteenths if this is a decimal
3 0
3 years ago
Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2
Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

5 0
3 years ago
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
professor190 [17]
Just divide the two numbers
6 0
3 years ago
Read 2 more answers
What is the area of this triangle 20 POINTS
Usimov [2.4K]

Answer:

It's 1/2*DB*AC

Step-by-step explanation:

7 0
3 years ago
A. 12 + 4x = 6x + 10 – 2x
GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

3 0
3 years ago
Other questions:
  • What is the final balance for the investment?
    8·1 answer
  • Estimates 63824+29452
    9·2 answers
  • 50 in<br> What is the Lateral Surface<br> Area of the tent?<br> 80 in<br> 50 in
    5·1 answer
  • Help it’s kinda urgent!!
    8·2 answers
  • Find the value of x/y if (3/5)^4*(15/10)^4=x/y^4
    14·1 answer
  • Complete each sentence with the correct conjugation of venir or traer. Nosotros no ____. (venir) Estamos enfermos.
    13·1 answer
  • Write an equation in point-slope form for each line (If possible please show work)
    13·1 answer
  • What is the algebraic expression for "the difference between seven times a number and three times that number"?
    11·2 answers
  • 70 is what percent of 56
    10·1 answer
  • Please help me!!!!!!!!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!