" 18Show that "tan(60^(@)+theta)tan(60^(@)-theta)=(2cos2 theta+1)/(2cos2 theta-1)

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Prove that tan (60^(@)-theta) tan (60^(@)+theta)=(2cos 2theta+1)/(2 cos 2 theta-1)

Prove that (tan^(2)theta-1)/(tan^(2)theta+1)=1-2cos^(2)theta

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

(tan^(2)theta)/((sec theta-1)^(2))=(1+cos theta)/(1-cos theta)

Prove that (1+tan theta)/(1-tan theta) = (1 - sin 2 theta)/(cos 2 theta) .

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

(tan theta)/(1+cot theta)=(tan theta-1)/(2-cos ec^(2)theta)

Prove that ("tan"^(2)theta)/(("sec"theta-1)^(2))=(1+"cos"theta)/(1-"cos"theta) .

Show that : (1+ tan theta/2)/(1-tan theta/2) = (1+sin theta)/(cos theta) = tan (pi/4 + theta/2)

Show that tan^2 theta - (1 / cos^2 theta) = -1