Сonvert trigonometric equation to quadratic equation I am struggling to know how to transform this equation as it involves more than one type of trigonometric function, I know how to do it with one repeated function. Question: sin^2 theta/2 + sin theta + 1 = 0 In must be transform in pure quadratic form: t^2 + t + 1 = 0

Jewel Hall

Jewel Hall

Answered question

2022-11-23

Сonvert trigonometric equation to quadratic equation
I am struggling to know how to transform this equation as it involves more than one type of trigonometric function, I know how to do it with one repeated function.
Question:
sin 2 θ / 2 + sin θ + 1 = 0
In must be transform in pure quadratic form:
t 2 + t + 1 = 0

Answer & Explanation

Nicholas Lara

Nicholas Lara

Beginner2022-11-24Added 10 answers

Observe that
sin θ = 2 sin ( θ 2 ) cos ( θ 2 ) .

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