Question

Show that cos 30+sin60/1+sin30+cos60 = cos 30

Answer 1

Step-by-step explanation:

To Show :-

Cos30° + Sin60°/1 + Sin30° + Cos60° = Cos30°

Now,

As we know that :-

Cos30° = √3/2

Sin60° = √3/2

Sin30° = 1/2

Cos60° = 1/2

Cos30° = √3/2

Now,

→ √3/2 + √3/2 ÷ 1 + 1/2 + 1/2 = √3/2

→ √3 + √3/2 ÷ 2 + 1 + 1/2 = √3/2

→ 2√3/2 ÷ 4/2 = √3/2

→ √3/2 = √3/2

LHS = RHS

Hence,

Proved...

Answer 2

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