Q. 135.0( 1 Vote )

Prove the followi

Answer :

Take, L.H.S

We know,





Hence Proved


OR


L.H.S cos[tan - 1{sin(cot - 1x)}]


Putting cot - 1x = t then cot t = x


We know, cosec2t = 1 + cot2t


So,


And,



Now, cos[tan - 1 sin t]


Putting the value of sin t, we get


Now, Let us Assume,


Then,


Since, sec2u = 1 + tan2u





And, sec x = 1/cos x


Then,




Hence, Proved.


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