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°.
Testez vos connaissances avec un QCM de 8 questions sur Mastering Basic Trigonometric Values.
1. What is the key characteristic that defines the ratios of sine, cosine, and tangent in the trigonometric functions table?
2. What is the primary role of sine values in trigonometry?
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