Question
Download Solution PDF1 + sec2 46° - cot2 44° =
This question was previously asked in
Allahabad High Court Group D (Mains) Exam Official Paper (Held On: 02 Apr, 2023)
Answer (Detailed Solution Below)
Option 4 : 2
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Detailed Solution
Download Solution PDFGiven:
1 + sec2 46º - cot2 44º
Formula Used:
\(sec^2 \theta = 1 + tan^2 \theta\)
\(cot \theta = tan (90º - \theta)\)
Calculation:
sec2 46º = 1 + tan2 46º
cot2 44º = tan2 (90º - 44º)
cot2 44º = tan2 46º
⇒ 1 + sec2 46º - cot2 44º
⇒ 1 + (1 + tan2 46º) - tan2 46º
⇒ 1 + 1
⇒ 2
The correct answer is option 4
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