Math, asked by deepika614249, 1 month ago

Prove that LHS = RHS :

(cosec² theta -1 ) (tan² theta ) = 1​

Answers

Answered by MysticSohamS
1

Answer:

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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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