Question

(cosec A - sin A) (sec A - cos A)=
1/tan A +cot A​

Answer 1

Answer:

LHS=(cosecA−sinA)(secA−cosA)=(

sinA

1

−sinA)(

cosA

1

−cosA)

=(

sinA

1−sin

2

A

)(

cosA

1−cos

2

A

)=sinAcosA=

2

1

sin2A

RHS=

tanA+cotA

1

=

1+tan

2

A

tanA

=

2

1

sin2A

LHS=RHS

Hence Proved

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