Question

if theta is is a positive angle Angele 4 cos² theta - 4 cos theta + 1 = 0, then the value of tan (theta - 30 )​

Answer 1

Answer:

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Answer 2

Answer:

1/√3

Step-by-step explanation:

4cos2θ – 4cosθ+ 1 = 0

=> (2cosθ –1)2 = 0

=> 2 cosθ– 1 = 0

=> 2 cos theta= 1

=> cosθ= cos 60°

=>θ = 60°

∴ tan (θ –30°) = tan (60° –30°) =tan 30°= 1/√3