Question

3)The value of sin 30 cos 60 + cos 30 sin 60 is _____________​

Answer 1

Answer:

As sin 30 is 1/2 , cos 60 is 1/2 , cos 30 is √3/2 and sin 60 is ✓3/2 .

Now, sin 30 cos 60 + cos 30 sin 60

1/2×1/2+√3)2×√3/2

1/4+3/2

4/4

1 is answer

Answer 2

Answer:

sin 30 cos 60 + cos 30 sin 60 = 1

Step-by-step explanation:

sin 30 × cos 60 + cos 30 × sin 60

cos(90 - 30) × cos 60 + sin (90 - 30) × sin 60               {Sinθ = cos (90 - θ)  

cos 60 × cos 60 + sin 60 × sin 60                                  Cosθ = sin (90 - θ) }  

cos²60 + sin²60

1                                                                                        (cosθ + sinθ = 1 )