sin⁴Acosec² A +cos⁴Asec²A=1
prove that
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Answered by
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Step-by-step explanation:
Taking,
LHS=
sin^4Acosec^2A + cos^4Asec^2A
can also be written as
sin^4A ( 1/sin^2A ) + cos^4A ( 1/cos^2A)
{because cosec and sec are the reciprocals of sin and cos respectively}
then after cancelling sin and cos you will get
sin^2 + cos^2
according to the trigonometric identities,
sin^2 + cos^2
= 1 = RHS
hence proved
.
Answered by
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