यदि 2sin(3x -15)° = 1 है, जहाँ 0° < (3x - 15) < 90° है, तो cos2(2x +15)° + cot2 (x + 15)° का मान ज्ञात कीजिए।

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SSC CGL 2020 Tier-I Official Paper 5 (Held On : 16 Aug 2021 Shift 2)
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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दिया गया है:

2sin(3x -15)° = 1

गणना:

sin(3x - 15)° = 1/2

⇒ sin (3x - 15)° = sin 30° 

⇒ (3x - 15)° = 30° 

⇒ 3x = 30° + 15° = 45° 

⇒ x =  = 15° 

तब,

cos2(2x +15)° + cot(x +15)°

cos2(2 × 15 +15)° + cot(15 +15)°

⇒ cos2(45)° + cot2(30)°

⇒  + 

⇒  + 3 =  

cos2(2x +15)° + cot(x +15)° = 

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