Solve the trigonometric equation over the interval [0, 2π)
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θ = 0° , 60°

Step-by-step explanation:

Substract both the sides from 1.

Rearrange the terms in L.H.S.

Replace the terms in brackets with '-sin²θ' by using the identity (sin²θ + cos²θ = 1).

Take 'sinθ' common from the whole expression in L.H.S.

Now solve each part separately :-

1)

2)

Divide both the sides by 'cosθ'.

Add both the sides with 'tanθ'.

∴ θ = 0° , 60°