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If $\sin â¡ (Î¸ / 2) = a, \cos â¡ (Î¸ / 2) = b$ , then $(1 + \sin â¡ Î¸) (3 \sin â¡ Î¸ + 4 \cos â¡ Î¸ + 5) =$

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(a+b)2(a+3b)2

(a+b)2(3a+b)2

(aâb)2(aâ3b)2

(aâb)2(3aâb)2

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detailed solution

Correct option is A

(1+sinâ¡Î¸)(3sinâ¡Î¸+4cosâ¡Î¸+5)=(cosâ¡(Î¸/2)+sinâ¡(Î¸/2))2[6sinâ¡(Î¸/2)cosâ¡(Î¸/2)+42cos2â¡Î¸/2â1+5 =(a+b)26ab+8b2+a2+b2=(a+b)2(a+3b)2

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If sinâ¡(Î¸/2)=a,cosâ¡(Î¸/2)=b, then (1+sinâ¡Î¸)(3sinâ¡Î¸+4cosâ¡Î¸+5)=

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free study material

If $\sin â¡ (Î¸ / 2) = a, \cos â¡ (Î¸ / 2) = b$ , then $(1 + \sin â¡ Î¸) (3 \sin â¡ Î¸ + 4 \cos â¡ Î¸ + 5) =$