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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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Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduatio
Naily [24]

Answer:

C = 600 + 50s

Step-by-step explanation:

The students are planning to visits the Canada's wonderland. The students will spend a full day at the park.

The entry fee for each student is $50 and the bus cost is $600. Each student will pay $50 for entry into the park.

Let

the number of student  = s

cost of the trip = C

Relating the variable C and s

The total amount of money the student will pay for entry fee = 50 × s = 50s

Therefore, cost of the trip can be expressed as follows

C = 600 + 50s

8 0
3 years ago
3. Evaluate the expression 4(52-3-2x)² where x = 5.<br> O-1296<br> O1296<br> O 576<br> O-576
boyakko [2]

The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.

To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.

The term 5² = 25.

The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.

Taking the terms back to the expression, we get:

4(5² - 3 - 2x)²

= 4(25 - 3 - 10)²

= 4(12)²

= 4(144)

= 576.

Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.

Learn more about solving expressions at

brainly.com/question/723406

#SPJ9

3 0
2 years ago
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