Question

sin 30+sin 60/cos 30+ cos 60​

Answer 1

Answer:

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

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Answer 2

Answer:

1

Step-by-step explanation:

sin 30°= 1/2

sin 60°=√3/2

cos 30°=√3/2

cos 60°=1/2

sin 30°+sin 60°/cos 30°+cos 60°

(1/2)+(√3/2)/(√3/2)+(1/2)

(1+√3/2)/(√3+1/2)

2 cancelled

1+√3/√3+1

= 1