sin (A + B) = మరియు tan (A – B) = 1. A మరియు B విలువలు ఏమిటి?

  1. 37 , 54
  2. 35.7 , 40.7
  3. 50 , 10
  4. 52.5 , 7.5

Answer (Detailed Solution Below)

Option 4 : 52.5 , 7.5
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ఉపయోగించిన ఫార్ములా:

sin 60°  =  

tan 45° = 1

లెక్కింపు:

దానిని బట్టి,

sin (A + B) = 

⇒ sin (A + B) = sin 60° 

∴ A + B = 60°   ----(1)

అలాగే, ఇవ్వబడింది

tan (A – B) = 1 

⇒ tan (A – B) = tan 45°

∴ A – B = 45°  ----(2)

సమీకరణం (1) మరియు (2) కలుపుతోంది

2 A = 105

A = 52.5

సమీకరణం (1) నుండి మనం పొందుతాము

B = 7.5

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