Use exact values of standard angles to evaluate a trigonometric expression.

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Use exact values of standard angles to evaluate a trigonometric expression. (a) Express cos⁡150∘\cos150^{\circ} in terms of the sine of an acute angle without using any calculator. (b) Using known exact values, find the numerical value of cos⁡150∘\cos150^{\circ}. (c) Write the result obtained in part (b) again after converting 150∘150^{\circ} to radians.

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