" 32.Prove that: "(1)/(sec A+tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A-tan A)

Prove the trigonometric identities: (1)/( sec A+tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A-tan A)

Show that: 1/(sec A-tan A) - 1/(cos A) = 1/(cos A) - 1/(sec A + tan A)

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Prove that (1)/(sec x-tan x)+(1)/(sec x+tan x)=(2)/(cos x)

Prove that (sec A+1)/(tan A)=(tan A)/(sec A-1)

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

Prove that (1+sec A-tan A)/(1+sec A+tan A)=1-sin A/(cos A)

Prove that: (cosec A-sin A)(sec A-cos A)=(1)/(tan A+cot A)

Prove that (sin A)/(sec A + tan A -1)+ (cos A)/("cosec "A +cot A-1)=1