sec4 theta - sec2 theta = tan4 theta + tan2 theta
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Answered by
464
L.H.S.
sec4θ - sec2θ
= sec2 θ [ sec2 θ - 1 ] { taking sec2 θ as common }
= sec2θ * tan2θ { * = multiply.}
R.H.S.
tan4θ +tan2θ
= tan2θ [ tan2θ + 1 ]
= tan2θ * sec2θ
or sec2θ * tan2θ
= > L.H.S. = R.H.S.
sec4θ - sec2θ
= sec2 θ [ sec2 θ - 1 ] { taking sec2 θ as common }
= sec2θ * tan2θ { * = multiply.}
R.H.S.
tan4θ +tan2θ
= tan2θ [ tan2θ + 1 ]
= tan2θ * sec2θ
or sec2θ * tan2θ
= > L.H.S. = R.H.S.
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