Question

Given that :

Sin ( A + B ) = SinA Cos B + CosA SinB

Find : Sin75°​

Answer 1

Answer:

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Step-by-step explanation:

Sin(75)=sin(30+45)  

On comparing,sin(45+30)=sin(a+b)  

Putting values,  

Sin(45+30)=sin45*cos30+cos45*sin30  

-> 1/√2*√3/2+ 1/√2*1/2  

-> √3/2√2 + 1/2√2  

-> √3 +1 / 2√2  

-> √3 +1/2√2 *√2/√2 (rationalising denominator)  

-> √6+√2/4  

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