sin (C + D) = √3/2 మరియు sec (C - D) = 2/3 అయితే అప్పుడు C మరియు D విలువ ఏమిటి?

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 10 March, 2023 Shift 3)
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  1. 45 డిగ్రీలు మరియు 15 డిగ్రీలు
  2. 30 డిగ్రీలు మరియు 30 డిగ్రీలు
  3. 15 డిగ్రీలు మరియు 30 డిగ్రీలు
  4. 60 డిగ్రీలు మరియు 30 డిగ్రీలు

Answer (Detailed Solution Below)

Option 1 : 45 డిగ్రీలు మరియు 15 డిగ్రీలు
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Detailed Solution

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ఇచ్చినది:

 sin (C + D) = √3/2

sec (C - D) = 2/√3

గణనలు:

sin (C + D) = √3/2 మరియు sec (C - D) = 2/√3 అయితే

అప్పుడు,

⇒ C + D = 60°.............(1)

C - D = 30°..............(2)

1 & 2 సాధించగా.

C = 45°

D = 15°

∴ ఎంపిక 1 సరైన సమాధానం.

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