Home
Class 12
MATHS
Prove that (Sec8A-1)/(Sec4A-1)=(tan8A)/(...

Prove that `(Sec8A-1)/(Sec4A-1)=(tan8A)/(tan2A)`

Text Solution

Verified by Experts

`L.H.S. = (sec8A - 1)/(sec4A - 1) = ((1-cos8A)/(cos8A))/((1-cos4A)/(cos4A))`
`=((2sin^2 4A)cos4A)/((2sin^2 2A)cos8A)`
`=(sin8Asin4A)/(cos8A(2sin^2 2A))`
`=(tan8A(2sin2Acos2A))/(2sin^2 2A)`
`=tan8Acot2A`
`=(tan8A)/(tan2A) = R.H.S.`
Promotional Banner

Similar Questions

Explore conceptually related problems

(sec8A-1)/(sec4A-1)=(tan 8A)/(tan2A)

Prove that (sec 8A-1)/(sec 4A-1)=(Tan8A)/(Tan2A)

Prove that (sec8x-1)/(sec4x-1)=(tan8x)/(tan2x)

Prove that (sec 8 A-1)/(sec 4A -1)=(tan 8A)/(tan 2A) .

Prove that (sec 8A-1)/( sec 4 A -1) = ( tan 8 A)/( tan 2A).

Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (cos A+ sin A)/(cos A - sin A)-(cos A-sin A)/(cos A+sin A)=2 tan 2A

Prove that: (sec4A-1)/(sec8A-1)=tan2A. cot8A

Prove that: (sec4A-1)/(sec8A-1)=tan2A. cot8A

Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove that: (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)