Question

prove cosec A + 2 cosec 2 A = sec A cot A/2​

Answer 1

Step-by-step explanation:

$\huge{Prove\:that}$

cosec A + 2 Cosec2A= SecA cot A/2

Taking LHS-

1/sinA+2/sin2A

=sin2A+sinA/sinAsin2A

2sin 3A/2 ×sin A/2/ 2sinA/2cosA/2.2SinA cos A

=secA.cotA/2

Answer 2

Step-by-step explanation:

cosec A + 2 Cosec2A= SecA cot A/2

Taking LHS-

1/sinA+2/sin2A

=sin2A+sinA/sinAsin2A

2sin 3A/2 ×sin A/2/ 2sinA/2cosA/2.2SinA cos A

=secA cotA/2

hope this helps you❤