Question
Download Solution PDFIf \(\rm cos x + sec x = {7 \over2 \sqrt3}\), then the value of cos2x + sec2x will be ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm cos x + sec x = {7 \over2 √3}\)
Concept used:
Secx = 1/Cosx
Calculation:
Let cosx = a , then secx = 1/a
As per the question,
⇒ a + 1/a = 7/2√3
⇒ a2 + 1/a2 = (7/2√3)2 - 2
⇒ a2 + 1/a2 = 25 /12
∴ The correct option is 4
Last updated on Jul 12, 2025
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