Question
If cot x – tan x = 3/2, then what will be the value of
cot x + tan x?Solution
cot x – tan x = 3/2 ⇒ cot x – 1/cot x = 3/2 Using If x - 1/x = p, then x + 1/x = √(p2 + 4) ⇒ cot x + 1/cot x = √[(3/2)2 + 4] ⇒ cot x + 1/cot x = √(25/4) ⇒ cot x + 1/cot x = 5/2 ⇒ cot x + tan x = 5/2
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