The trigonometric Identities Cos 30° cos 45° - sin 30° sin 45° when simplified gives; ((√3) - 1)/2√2
<h3>How to solve Trigonometric Identities?</h3>
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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