1.

The most general value of θ satisfying the equation sin θ = sin α and cos θ = cos α is (a) 2nπ + α(b) 2nπ – α (c) nπ + α (d) nπ – α

Answer»

Answer : (c) nπ + α 

Given, 

sin θ = sin α ...(i) 

cos θ = cos α ...(ii) 

∴ Dividing eqn (i) by eqn (ii), we have 

tan θ = tan α 

θ = nπ + α.



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