Question

Evaluate: n60^ 0 cos 30^ 0 +cos 60^ 0 sin 30^ 0​

Answer 1

Answer:

Step-by-step explanation:

Use  sin(90  

∘

−θ)=cosθ and  cos(90  

∘

−θ)=sinθ

and  cos  

2

θ+sin  

2

θ=1

Now,

sin30  

∘

⋅cos60  

∘

+cos30  

∘

⋅sin60  

∘

 

=sin(90  

∘

−60  

∘

)⋅cos60  

∘

+cos(90  

∘

−60  

∘

)⋅sin60  

∘

 

=cos60  

∘

⋅cos60  

∘

+sin60  

∘

⋅sin60  

∘

 

=cos  

2

60°+sin  

2

60°=1