Question

Show that tan A + cot A = sec A.cosec A​

Answer 1

Step-by-step explanation:

tan A + cot A = sec A. cosec A

L.H.S = tan A + cot A

= sinA / cos A + cos A / sin A

= sin^2 A + cos^2 A / cos A . sin A

= 1 / cos A.sin A

= 1/ cos A + 1/ sin A

= sec A + cosec A

= R.H.S

hence proved.