Question

Determine the value of
Cos60 cos30 + sin60 sin30​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{Answer=√3/2}}}}$

Step-by-step explanation:

Given that:-

Cos60 cos30+ sin60 sin30

This is in the form of CosACosB+SinASinB

Here A=60° and B=30° CosACosB+SinASinB=Cos(A-B)

=>Cos60 cos30+ sin60 sin30

=>Cos(60°-30°)

=>Cos 30°

=>√3/2

Answer:-

the value of Cos60 cos30+ sin60 sin30=√3/2

Answer 2

Answer:

1/√2

Step-by-step explanation:

cos 60 cos 30 +sin 60 sin 30

= 1/√2*1/2. +1/2*1/√2

=1/2√2 + 1/2√2

=2/2√2

=1/√2