1.

The value of sin 60° cos 30° + sin 30° cos 60° is: (a)o (b)1 (c)2 (d)4​

Answer»

Answer:

Use  sin(90  

∘

−θ)=cosθ and  COS(90  

∘

−θ)=sinθ

and  cos  

2

θ+sin  

2

θ=1

Step-by-step explanation:

sin30  

∘

⋅cos60  

∘

+cos30  

∘

⋅SIN60  

∘

 

=sin(90  

∘

−60  

∘

)⋅cos60  

∘

+cos(90  

∘

−60  

∘

)⋅sin60  

∘

 

=cos60  

∘

⋅cos60  

∘

+sin60  

∘

⋅sin60  

∘

 

=cos  

2

60°+sin  

2

60°=1

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