Trigonometry Exact Values (Edexcel A-Level Mathematics): Flashcards

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Trigonometry Exact Values
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What are exact values in trigonometry?

Precise values of trig functions for specific angles.

What is sin⁡30°\sin 30°?

sin⁡30°=12\sin 30° = \frac{1}{2}.

What is cos⁡45°\cos 45°?

cos⁡45°=22\cos 45° = \frac{\sqrt{2}}{2}.

What is tan⁡60°\tan 60°?

tan⁡60°=3\tan 60° = \sqrt{3}.

What is the exact value of cosecant 30°30° (csc⁡30°\csc 30°)?

csc⁡30°=2\csc 30° = 2 or 1/sin⁡30°=21/\sin 30° = 2.

What is sec⁡60°\sec 60° in terms of cosine?

sec⁡60°=2\sec 60° = 2, since sec⁡x=1cos⁡x\sec x = \frac{1}{\cos x} and cos⁡60°=0.5\cos 60° = 0.5.

What does a 30°30°-60°60° triangle reveal for sin?

sin⁡30°=1/2\sin 30° = 1/2, sin⁡60°=3/2\sin 60° = \sqrt{3}/2.

What are the coordinates for cos⁡0°\cos 0°?

cos⁡0°=1\cos 0° = 1.

What does the unit circle show at 90°90°?

cos⁡90°=0\cos 90° = 0, sin⁡90°=1\sin 90° = 1.

What role do exact values play in trigonometry?

They simplify calculations and prove identities efficiently.

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