Learn Evaluate Cos 60 X Cos 30 Sin 60 X Sin 30

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# Evaluate cos 60° × cos 30° + sin 60° × sin 30°

We can evaluate this expression using the trigonometric table.

## Answer: cos 60° × cos 30° + sin 60° × sin 30° = √3/2

Let see how we can solve this.

**Explanation**:

As we know that:

cos 60° = 1/2, cos 30° = √3/2, sin 60° = √3/2, sin 30° = 1/2

Substituting all the values in the given expression,

(1/2 × √3/2) + (√3/2 × 1/2)

= √3/4 + √3/4

= 2√3/4

= √3/2

### Thus, (cos 60° × cos 30°) + (sin 60° × sin 30°) = √3/2

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