Q.

Show that:

Cos 30°+sin 60°/1+sin 30°+cos 60°= cos 30°

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a

√2/2

b

√4/2

c

√3/2

d

√2/3  

answer is C.

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Detailed Solution

LHS= Cos 30°+sin 60°/1+sin 30°+cos 60°
=√3/2 + √3/2/1+½+½
=2(√3/2)/2
=√3/2
RHS= cos 30°
=√3/2
hence, LHS= RHS
so it is proved that both are equal.
   Type-   CBSE
Grade-  10
Subject-  Mathematics
Chapter-  Profit and loss as a percentage   
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