0If sinα+(sinα)^2=1
Show that (cosα)^2+(cosα)^4=1
sinα+(sinα)^2=1<---- eqn 1
sinα=1-(sinα)^2
(sinα)^2+(cosα)^2=1 (identity)
sinα=(cosα)^2
Subsitute this in eqn 1
(cosα)^2+((cosα)^2)^2=1
(cosα)^2+(cosα)^4=1
Proved.
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If sinα+(sinα)^2=1
Show that (cosα)^2+(cosα)^4=1
sinα+(sinα)^2=1<---- eqn 1
sinα=1-(sinα)^2
(sinα)^2+(cosα)^2=1 (identity)
sinα=(cosα)^2
Subsitute this in eqn 1
(cosα)^2+((cosα)^2)^2=1
(cosα)^2+(cosα)^4=1
Proved.
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