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Complete the proof of the identity by choosing the Rule that justifies each step.(sec^2x-1) cosx = sin^2x secxTo see a detailed description of a Rule, select the More Information Button to the right of the Rule.

Complete the proof of the identity by choosing the Rule that justifies each step.(sec^2x-1) cosx = sin^2x secxTo see a detailed description of a Rule, select th class=

Answer :

From the question we are to complete the proof

[tex](sec^2x-1)\cos x=\sin ^2x\sec x[/tex]

Solving LHS

By applying Pythagorean rule

[tex]1+\tan ^2x=\sec ^2x[/tex]

This implies

[tex]\tan ^2x=\sec ^2x-1[/tex]

Therefore we have

[tex](\sec ^2x-1)\cos x=\tan ^2x\cos x[/tex]

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