`(cosA + cos3A + cos5A + cos7A)/(cosAcos2Acos4A)=`

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Prove that, (cos3A+2cos5A+cos7A)/(cosA+2cos3A+cos5A)=cos2A-sin2A.tan3A

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Prove that: cos A+cos3A+cos5A+cos7A=4cos A cos2A cos4A

Prove that: (cos3A+2cos5A+cos7A)/(cos A+2cos3A+cos5A)=(cos5A)/(cos3A)

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(cos2A cos3A-cos2A cos7A+cos A cos10A)/(sin4A sin3A-sin2A sin5A+sin4A sin7A)=cot6A cot5A

(cos2A cos3A-cos2A cos7A+cos A cos10A)/(sin4A sin3A-sin2A sin5A+sin4A sin7A)=cot6A*cot5A