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
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