Prove that LHS = RHS :
(cosec² theta -1 ) (tan² theta ) = 1
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Step-by-step explanation:
so here given trigonometric equation is
(cosec² theta -1 ) (tan² theta ) = 1
let LHS=(cosec² theta -1 ) (tan² theta )
RHS=1
considering lhs first
=
(cosec² theta -1 ) .(tan² theta )
=cot² (tan² theta )
since (cosec² theta -1 )=cot² theta
so thus then
=1/tan².tan²
since 1/cot=tan
=1
thus LHS=RHS
Hence proved
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