Question
Download Solution PDFWhat is the value of cos2 15°?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Cos 2A = 2Cos2 A - 1
Calculation:
According to the formula,
⇒ Cos 2A = 2Cos2 A - 1
⇒ Let A = 15
⇒ Cos 30 = 2Cos2 15 - 1
⇒ \(\frac{\sqrt3} {2} +1 = 2cos^2 15\)
⇒ \( 2cos^2 15 = \frac{\sqrt3+2} {2}\)
⇒ \( cos^2 15 = \frac{\sqrt3+2} {4}\)
⇒ Hence, Option 2 is correct
Last updated on Jul 12, 2025
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