Question

if tanA= 1/√7, show that (cosec^2A-sec^2A)/cosec^2A+sec^2A=3/4

Answer 1

hy i'm anamorphic
solution =


if tan theta = 1 / root 7
cosec theta = root 8/1
sec theta = root 8/root 7
...........
(cosec ^2 theta - sec ^2 theta )/cosec^2 theta +sec^2 theta )
(root 8/1)^2 - (root 8/root 7)^2/ (root 8/1)^2 + (root 8/root 7)^2
(8/1 - 8/7) / (8/1 + 8/7)
((56 -8)/7 / ((56 + 8)/7
[48/7 / 64/7]
[ 48 x 7]/ [7 x 64)
Cancel 7's top and bottom
=48/64
Divide top and bottom by 16
= 3/4
Hope this helps :-)