Question

If sin(x+y)=sinx×cosy+cosx×siny find the value of sin75°

Answer 1

Step-by-step explanation:

We know that

Sin(x+y)=SinxCosy+CosxSiny

so we can split sin75 to sin(30+45)

here now

x=30

y=45

Therefore

Sin(45+30)=Sin45cos30+cos45sin30

=(1/√2)(√3/2)+(1/√2)(1/2)

=(√3/2√2)+(1/2√2)

=(√3+1)/2√2

So sin75°= √3+1

2√2

Hope it helps

Thank you