A మరియు B రెండవ చతుర్భుజ కోణాలు అయినందున, sin A = మరియు sin B = , అప్పుడు cos (A - B) విలువను కనుగొనండి.

This question was previously asked in
SSC CPO 2022 Tier-I Official Paper (Held On : 9 Nov 2022 Shift 3) [Answer Key]
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Answer (Detailed Solution Below)

Option 3 :
Free
SSC CPO : English Comprehension Sectional Test 1
50 Qs. 50 Marks 20 Mins

Detailed Solution

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ఇచ్చిన:

sin A =  

sin B = 

ఉపయోగించిన సూత్రం:

sin2A + cos2B = 1

cos (A − B) = cosAcosB + sinAsinB

సాధన:

⇒ sin A =  

⇒ cosA=

కోణాలు 2వ చతుర్భుజంలో ఉన్నందున

⇒ cosA = 

⇒ sin B =  

⇒ cosB=

కోణాలు 2వ చతుర్భుజంలో ఉన్నందున

⇒ cosB = 

ఇప్పుడు సూత్రం ప్రకారం..

⇒ cos (A − B) = cosAcosB + sinAsinB = 

⇒ కాబట్టి, cos (A - B) విలువ .

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