If tanθ+ cotθ= 2, find the value of tan2 θ + cot2 θ
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Answer:
tanθ+cotθ=2
Squaring both sides;
(tanθ+cotθ)
2
=2
2
⇒tan
2
θ+cot
2
θ+2tanθcotθ=4
⇒tan
2
θ+cot
2
θ+2=4
⇒tan
2
θ+cot
2
θ=2
Step-by-step explanation:
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