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Question Number 123018 by ajfour last updated on 21/Nov/20

Commented by ajfour last updated on 21/Nov/20

$$IfrectanglesABCDandPQRS$$$$arecongruent,find\theta ,intermsof\mathit{\alpha }.$$

Commented by mr W last updated on 22/Nov/20

$$AB=a$$$$AF=b=a\tan \alpha$$$$b=AQ+QD=a\tan \theta +a\cos \theta =a\tan \alpha$$$$\tan \theta +\cos \theta =\tan \alpha$$$$let\lambda =\tan \alpha$$$$1+(1+{\lambda }^2){\cos }^2\theta -2\lambda {\cos }^3\theta +{\cos }^4\theta =0$$$$\Rightarrow \cos \theta =...$$

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