Flashcards: Mastering Basic Trigonometric Values — 22 cartões

Trigonometric functions table — purpose?

Summarizes sine, cosine, tangent ratios for key angles.

Sine — definition?

Opposite side over hypotenuse in a right triangle.

Tangent — role?

Opposite over adjacent sides; slope of a line.

Non-calculator table — angles?

Includes exact values for 30°, 45°, 60°.

Sin 30 — value?

1/2.

Sin 45 — value?

√2/2.

Sin 60 — value?

√3/2.

Cos 30 — value?

√3/2.

Cos 45 — value?

√2/2.

Cos 60 — value?

1/2.

Tan 30 — value?

1/√3 or √3/3.

Sine range — bounds?

From -1 to 1.

Tangent asymptotes — where?

At angles where cosine is zero, like 90°.

Sin 30 — geometric interpretation?

Opposite/hypotenuse in a 30°-60°-90° triangle.

Sin 45 — key property?

Equals √2/2; symmetry with cosine.

Sin 60 — relation to cosine?

Equal to cos 30°; complementary angles.

Cos 30 — derived from?

30°-60°-90° triangle side ratios.

Cos 45 — significance?

Same as sin 45°; symmetry at 45°.

Cos 60 — exact value?

1/2.

Tan 30 — geometric basis?

Opposite/adjacent in a 30°-60°-90° triangle.

Reciprocal of tan 30?

Tan 60, which is √3.

Key property of tangent?

Period of 180°, undefined at 90°.