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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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Answer:

The correct answer is third option

x = 3

Step-by-step explanation:

It is given that,

4ˣ = 8⁽ˣ ⁻ ¹⁾

<u>To find the value of x</u>

4ˣ  = (2²)ˣ

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The correct answer is third option

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