Question
Download Solution PDFयदि 1 + tan2 x - 2 tan x = 0, तो x का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Option 2 : \(\rm\frac{\pi}{4}\)
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Detailed Solution
Download Solution PDFअवधारणा:
त्रिकोणमिति:
- tan \(\rm\frac{\pi}{4}\) = 1
बीजगणित:
- (a ± b)2 = a2 ± 2ab + b2
गणना:
1 + tan2 x - 2 tan x = 0
⇒ 12 - 2 (1) (tan x) + (tan x)2 = 0
⇒ (1 - tan x)2 = 0
⇒ 1 - tan x = 0
⇒ tan x = 1
⇒ x = \(\rm\frac{\pi}{4}\)
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