Question
Download Solution PDFIf cos θ = \(\frac{\sqrt{3}}{2}\), then tan2 θ cos2 θ = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
cos θ = \(\frac{\sqrt{3}}{2}\)
Formula used:
cos 30º = \(\frac{\sqrt{3}}{2}\)
tan 30º = 1/\(\sqrt{3}\)
Calculation
⇒ tan2 θ cos2 θ
⇒ (1/\(\sqrt{3}\))2 ×( \(\frac{\sqrt{3}}{2}\))2
⇒ 1/3 × 3/4
⇒ 1/4
The value of expression is 1/4.
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