Question

Cos 30° cos 450 -sin 30° sin

Answer 1

The trigonometric Identities Cos 30° cos 45° - sin 30° sin 45° when simplified gives; ((√3) - 1)/2√2

How to solve Trigonometric Identities?

We want to solve the trigonometric Identity;

Cos 30° cos 45° - sin 30° sin 45°

We know that the trigonometric values of these in surd form are;

Cos 30° = (√3)/2

cos 45° = 1/√2

sin 30° = 1/2

sin 45 = 1/√2

Thus;

Cos 30° cos 45° - sin 30° sin 45° = ((√3)/2 * 1/√2) - (1/2 * 1/√2)

= ((√3)/2√2) - (1/2√2)

= ((√3) - 1)/2√2

Read more about Trigonometric Identities at; brainly.com/question/7331447

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