Question

"Question18
Show that, cos30°+ sin60° / 1 + sin30° + cos60° = cos30°
Chapter6,T-Ratios of particular angles Exercise -6 ,Page number 288"

Answer 1

HELLO DEAR,

R.H.S


(√3/2 + √3/2) / (1 + 1/2 + 1/2)

= 2√3/2 / (1 + 2/2)

= √3/2


WE KNOW THAT:-

L.H.S

COS30° = √3/2

HENCE, R.H.S = L.H.S


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Hey there,
As we have learnt in this chapter, The values of Trigonometric ratios of particular angles are

cos30 = √3/2
sin60 = √3/2
sin30 = 1/2
cos60 = 1/2

Now,
Taking L. H. S,

cos30°+ sin60° / 1 + sin30° + cos60

= [ √3/2 + √3/2 ] / [ 1 + 1/2 + 1/2 ]

= [ √3 ] / 2

= √3 /2

Now, Taking R. H. S

= cos30

= √3/2

So, Here we see that Both L. H.S and R. H. S are equal, So L. H. S = R. H. S = √3/2

Finally, We proved that cos30°+ sin60° / 1 + sin30° + cos60° = cos30°