If THETA and 2THETA-45DEGREE are acute angles such that sinTHETA = cos (2THAT - 45DEGREE ), then tanTHETA is equal to :
(A) -1 (B) 1 (C)
1 BY ROOT3
(D) ROOT 3
Given : θ and (2θ – 45) are acute angles
and
sin θ = cos (2θ – 45)
Hence tan θ = tan 45° = 1.