cosec 15° sec 15° విలువ ఎంత?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)

Answer 1

ఇచ్చినవి:

cosec 15° sec 15°

ఉపయోగించిన భావన:

1. 2 × sin α × cos α = sin 2α

2. sin 30° = 1/2

3. cosec α = 1/sin α

4. sec α = 1/cos α

గణన:

cosec 15° sec 15°

⇒ \(\frac {1}{\sin 15^\circ × \cos 15^\circ}\)

⇒ \(\frac {2}{2\sin 15^\circ × \cos 15^\circ}\)

⇒ \(\frac {2}{\sin (15 × 2)^\circ}\)

⇒ \(\frac {2}{\sin 30^\circ}\)

⇒ \(\frac {2}{\frac {1}{2}}\)

⇒ 4

∴ cosec 15° sec 15° విలువ 4.

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