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Vikki [24]
2 years ago
14

Prove the identities (sec^2-1)cot^2=1

Mathematics
1 answer:
In-s [12.5K]2 years ago
6 0

The trigonometric Identity proof (sec²θ - 1)cot²θ = 1 is as explained below.

<h3>How to prove trigonometric Identities?</h3>

We want to prove that;

(sec²θ - 1)cot²θ = 1

Now, we know from trigonometric identities that;

sec²θ - 1 = tan²θ

Thus, the left hand side of our original equation can be written as;

tan²θ * cot²θ

We also know in trigonometric identities that 1/tan θ = cot θ. Thus;

tan²θ * cot²θ can be written as;

tan²θ * (1/ tan²θ)

The above will cancel out to give us 1 which is also equal to the right hand side and as such our trigonometric proof is complete.

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

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If I bought 21 pound of beef to make a burger for 9 person party how many people could I invite to dinner if i have 7 pounds? (
statuscvo [17]

Answer:

3 people

Step-by-step explanation:

We can write a proportion, putting lbs of beef over people

21 lbs            7 lbs

-----------   = ------------

9 people         x people

Using cross products

21x = 7*9

21x = 63

Divide each side by 21

21x/21 = 63/21

x =3

You can have 3 people

6 0
3 years ago
Read 2 more answers
Find the discriminant of the following equation.<br> 4x2 + 16x + 16 = 0 ...?
kenny6666 [7]

Discriminant = b^2 - 4ac

a = 4

b = 16

c = 16

16^2 - 4(4 x 16)

256 - (4x64)

256 - 256 = 0

Therefore it only has one root

7 0
3 years ago
Find the expression for the area of the figure. Give your answer as a simplified radical.
KatRina [158]

Answer:

Option B

Step-by-step explanation:

Please see attached picture for full solution.

3 0
3 years ago
Read 2 more answers
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of tha
Mazyrski [523]

The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

<h3>What is a fraction?</h3>

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.


From the problem:
= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}

= \rm \dfrac{7}{3}\times \dfrac{1}{2}

= \rm \dfrac{7}{6}

= \rm 1\dfrac{1}{6}

Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

8 0
2 years ago
3/4=j-1/2 solve the equation check your solution
DIA [1.3K]
3/4= j-1/2
first to add 1/2 to both sides to solve for j 
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so 
3/4 + 2/4 = 5/4
so 5/4 =j

to check your answer you plug 5/4 in for j 
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so 
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so 
5/4 - 2/4 = 3/4

so j =  5/4
5 0
3 years ago
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