Question

prove that cotA + Tan A=cosecA. secA​

Answer 1

Answer:

tan A = sina /cos a

cot a = cos a/ sin a

on adding both of these

sin a/cos a+ cosa /sin a

cos square a + sin square a / sina cos a

1/ sin a cos a. (sin square + cos square = 1)

cosec A * sec A

Answer 2

Step-by-step explanation:

To prove: cotA + tanA = cosecA . secA

L.H.S. :-

cosA + sinA cos^2A + sin^2 A

____ _____ = _______________

sinA cosA sin A . cosA

= 1

_________________

sin A . cos A

R.H.S. :-

cosec A . sec A = 1 1

______ x ______

sin A cos A

= 1

___________

sin A . cos A

. .

. L.H.S. = R.H.S.

Hence, it is proved.