Question

if sin(A+B)=Sin A cos B+sin B cos A.find sin 75°​

Answer 1

$\huge\underline\frak{\fbox{AnSwEr:-}}$

$\sin(a + b) = \sin \: a \: \cos \: b + \sin \: b \: \: \cos \: a \\ \sin(75) = \sin(45 + 30) = \sin(45) \: \cos(30) + \sin(30) \: \cos(45) \\ \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{ \sqrt{2} } \\ \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} } \\ \frac{ \sqrt{3} + 1}{2 \sqrt{2} }$

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Answer 2

Answer:

(√3+1)/2√2

Step-by-step explanation:

sin75=sin(45+30)

sin45cos30+cos45sin30

(1/√2)(√3/2)+(1/√2)(1/2)

(√3/2√2)+(1/2√2)

(√3+1)/2√2