Question

Cos theta -sin theta/cos theta+sin theta =1-root 3/1+root33

Answer 1

Step-by-step explanation:

cosθ-sinθ/cosθ+sinθ=1-√3/1+√3

using componendo dividendo

(cosθ-sinθ)+(cosθ+sinθ)/(cosθ-sin)θ-(cosθ+sinθ)=(1-√3)+(1+√3)/(1-√3)-(1+√3)

2cosθ/-2sinθ=2/-2√3

cosθ/sinθ=1/√3

cotθ=1/√3

θ=60°