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If 1 – cos2θ = 14, then θ = ? - Geometry Mathematics 2

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प्रश्न

If 1 – cos2θ = `1/4`, then θ = ?

योग

उत्तर

1 – cos2θ = `1/4`      ......[Given]

∴ sin2θ = `1/4`     .....`[(because sin^2theta + cos^2theta = 1),(therefore 1 - cos^2theta = sin^2theta)]`

∴ sin θ = `1/2`    ......[Taking square root of both sides]

∴ θ = 30°     ......`[because sin 30^circ = 1/2]`

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अध्याय 6: Trigonometry - Q.1 (B)

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