Question
Download Solution PDFIf cot x – tan x = 3/2, then what will be the value of cot x + tan x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cot x – tan x = 3/2
Concept Used:
If x - 1/x = p, then x + 1/x = √(p2 + 4)
tan x = 1/cot x
Calculation:
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
∴ Option 3 is the correct answer.
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