Question

cos60 . cos 30 + sin60 . sin30 = $\frac{\sqrt{3} }{2}$

Prove that LHS = RHS

Answer 1

Answer:

By putting the value

1/2×√3/2+√3/2×1/2

√3/4+√3/4

2√3

—

4

By cancel 2 and 4 getting

√3/2

Hence L.H.S=R.H.S

Please mark as a brilliant answer

Answer 2

Answer:

cos30°+sin60°/ 1+ cos60 + sin30

cos 30° = √3/2

sin 60° = √3/2

cos 60° = 1/2

sin30° = 1/2

now substitute these values in the equation

=}√3/2 +√3/2 / 1+ 1/2+1/2

=}2√3/2 /1+2/2

=}2√3/2 / 4/2               ( 2 and 2 get cancelled )

=}2√3/4                          ( cancellation)

=}√3/2

therefore LHS = RHS

hope it helped you

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