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Problem

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problem

Given that cos2θ=1+54,\cos 2 \theta = \frac{1 + \sqrt{5}}{4},find tan2θtan23θ.\tan^2 \theta \tan^2 3 \theta.
Plain-text mathematical notation (without MathML)
Given that
cos2θ=(1+√(5))/(4),find tan²θtan²3θ.
Original LaTeX notation
Given that
\[\cos 2 \theta = \frac{1 + \sqrt{5}}{4},\]find $\tan^2 \theta \tan^2 3 \theta.$

level

Level 5

type

Precalculus

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Source and history

Official source

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