if cosectheta+cottheta=k then prove that costheta=ksquare-1/ksquare+1
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Heya friend !
Given :-
cosec a + cot a = k --------------------------- (1)
Now,
We know, By identity,
or,
( cosec a - cot a ) ( cosec a + cot a) = 1
( cosec a - cot a ) × k = 1
cosec a - cot a = ------------------------------ (2)
by (1) + (2), we get.
2 cosec a =
2 cosec a =
cosec a = -------------------------------------(3)
Now, from equation (2),
cot a =
= ------------------------------------ (4)
Now, by (3) ÷ (4) , we get,
=
So,
cos a =
Hence Proved !
Thanks !
#BAL #answerwithquality
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