I need some help with this one... $\displaystyle (1 - \tan^2\Theta)(\sec^2\Theta)$ Thanks in advance.
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Hello, Originally Posted by Intrusion I need some help with this one... $\displaystyle (1 - \tan^2\Theta)(\sec^2\Theta)$ Thanks in advance. Note that $\displaystyle 1+\tan^2 \theta=\sec^2 \theta$ So $\displaystyle 1-\tan^2 \theta=2-\sec^2 \theta$ Hence $\displaystyle (1-\tan^2 \theta)(\sec^2 \theta)=2 \sec^2 \theta-\sec^4 \theta=\frac{2}{\cos^2 \theta}-\frac{1}{\cos^4 \theta}$
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