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prove the trigonometric identity

(1-cos^2x)(cot^2+1) = 1

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Betsy S. | Mathematics TutorMathematics Tutor
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(1-cos2θ)(cot2θ+1)
 
use the identities: sin2θ= 1-cos2θ   and   cot2θ + 1 = csc2θ
 
(sin2θ)(csc2θ)
 
now cscθ = 1/sinθ
 
(sin2θ)(1/sin2θ)
 
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