Question

prove that cos A× tan A×cosec A = 1​

Answer 1

Answer:

L.H.S.,

= cos A× tan A×cosec A

$= cosA \times \frac{ \sin A}{ cos \: A} \times \frac{1}{sin \: A}$

$= 1$

R.H.S

Answer 2

Answer:

By taking L.H.S. =

1+cosA

1−cosA

=

1+cosA

1−cosA

×

1−cosA

1−cosA

=

1−cos

2

A

(1−cosA)

2

=

sin

2

A

(1−cosA)

2

=

sinA

1−cosA

=

sinA

1

−

sinA

cosA

=cosecA−cotA= R.H.S.

Step-by-step explanation:

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