यदि \(\sin A = \frac{1}{{\sqrt 2 }}\) और \({\mathop{\rm Cos}\nolimits} B = \frac{{\sqrt 3 }}{2}\) है, तो (A + B)º का मान क्या है?

A. 60º 

B. 75º 

C. 105º 

D. 90º 

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  1. C
  2. A
  3. D
  4. B

Answer (Detailed Solution Below)

Option 4 : B
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Detailed Solution

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दिया गया है:

Sin A = 1/√2

Cos B = √3/2

प्रयुक्त अवधारणा:

image (1)

गणना:

प्रयुक्त अवधारणा के अनुसार,

यदि Sin A = 1/√2

⇒ A = 45°

पुनः, Cos B = √3/2

⇒ B = 30°

(A + B)° का योग = 45° + 30° = 75°

∴ (A + B)° का मान 75° है

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