ఒకవేళ sin θ =\(1 \over 2\) అయితే, (3cos θ - 4 cos3 θ)  విలువ కనుగొనండి?

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  2. 1
  3. 2
  4. -1

Answer (Detailed Solution Below)

Option 1 : 0
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ఇచ్చిన సమస్య:

sin θ = \(1 \over 2\)

ఉపయోగించిన భావన:

Trigo

సాధన:

sin θ = \(1 \over 2\)

⇒ sinθ = sin 30°

అయితే, θ = 30°

3cos θ - 4 cos3 θ

⇒ 3 × \(\sqrt3 \over 2\) - 4 × \(3\sqrt3 \over 8\)

⇒ \({3\sqrt3 \over 2} - \frac{3\sqrt3}{2}\)

⇒ 0

∴ అవసరమైన సమాధానం 0.

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