Exact Trig Values Flashcards

All 8 cards in this deck

What are the exact values of sin⁡30∘\sin 30^\circ, cos⁡30∘\cos 30^\circ and tan⁡30∘\tan 30^\circ?

sin⁡30∘=12\sin 30^\circ = \frac{1}{2}, cos⁡30∘=32\cos 30^\circ = \frac{\sqrt{3}}{2}, tan⁡30∘=13\tan 30^\circ = \frac{1}{\sqrt{3}}

What are the exact values of sin⁡45∘\sin 45^\circ, cos⁡45∘\cos 45^\circ and tan⁡45∘\tan 45^\circ?

sin⁡45∘=cos⁡45∘=12=22\sin 45^\circ = \cos 45^\circ = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}, tan⁡45∘=1\tan 45^\circ = 1

What are the exact values of sin⁡60∘\sin 60^\circ, cos⁡60∘\cos 60^\circ and tan⁡60∘\tan 60^\circ?

sin⁡60∘=32\sin 60^\circ = \frac{\sqrt{3}}{2}, cos⁡60∘=12\cos 60^\circ = \frac{1}{2}, tan⁡60∘=3\tan 60^\circ = \sqrt{3}

What are the exact values of sin⁡0∘\sin 0^\circ, cos⁡0∘\cos 0^\circ and tan⁡0∘\tan 0^\circ?

sin⁡0∘=0\sin 0^\circ = 0, cos⁡0∘=1\cos 0^\circ = 1, tan⁡0∘=0\tan 0^\circ = 0

What are the exact values of sin⁡90∘\sin 90^\circ and cos⁡90∘\cos 90^\circ?

sin⁡90∘=1\sin 90^\circ = 1, cos⁡90∘=0\cos 90^\circ = 0

True or false? sin⁡30∘=cos⁡60∘\sin 30^\circ = \cos 60^\circ.

True. Both are exactly 12\frac{1}{2}.

What is the exact value of tan⁡45∘\tan 45^\circ?

11

In a right-angled triangle with a 45∘45^\circ angle the opposite and adjacent sides are equal.

True or false? cos⁡0∘=0\cos 0^\circ = 0.

False.

cos⁡0∘=1\cos 0^\circ = 1; it is sin⁡0∘\sin 0^\circ that equals 00.