If tan A + 1/tan A = 2 find the value of cot²A+1/cot² A
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Given, tan A + 1/tan A = 2 can be written as,
tan^2 A + 1 = 2 tan A
tan^2 A - 2 tan A + 1 = 0
(tan A - 1)^2 = 0
tan A - 1 = 0
A = 45.
Given, cot^2 A + 1/cot ^2 A
= cot^2 (45) + 1/ cot^2 (45)
= 1 + 1/1
2.
Hope this helps!
tan^2 A + 1 = 2 tan A
tan^2 A - 2 tan A + 1 = 0
(tan A - 1)^2 = 0
tan A - 1 = 0
A = 45.
Given, cot^2 A + 1/cot ^2 A
= cot^2 (45) + 1/ cot^2 (45)
= 1 + 1/1
2.
Hope this helps!
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