sinθsin(60⁰-θ)sin(60⁰+θ)=?

Explanation:

Another Explanation (5): sinθsin(60⁰-θ)sin(60⁰+θ) = ? 🤔 আমরা জানি, sin(A+B)sin(A-B) = sin²A - sin²B 🤓 তাহলে, sin(60⁰-θ)sin(60⁰+θ) = sin²60⁰ - sin²θ 😊 = (√3/2)² - sin²θ = 3/4 - sin²θ 😇 সুতরাং, sinθsin(60⁰-θ)sin(60⁰+θ) = sinθ(3/4 - sin²θ) = (3sinθ)/4 - sin³θ 🤩 = (3sinθ - 4sin³θ)/4 🥳 আমরা ত্রিকোণমিতি থেকে জানি, sin3θ = 3sinθ - 4sin³θ 😎 অতএব, sinθsin(60⁰-θ)sin(60⁰+θ) = (sin3θ)/4 🤯 = 1/4 sin3θ 🤓