Trigonometric Ratios Flashcards
Grade 10 · Math · Flashcards
Essential trig ratio definitions, special angle values, and right triangle identities.
Flashcards
- Sine (sin θ)
- Opposite / Hypotenuse
- Cosine (cos θ)
- Adjacent / Hypotenuse
- Tangent (tan θ)
- Opposite / Adjacent (also = sin θ / cos θ)
- SOH-CAH-TOA
- Memory aid: Sin=Opp/Hyp, Cos=Adj/Hyp, Tan=Opp/Adj
- Hypotenuse
- Longest side; always opposite the 90° angle
- sin 30° / cos 60°
- 1/2
- cos 30° / sin 60°
- √3/2 ≈ 0.866
- sin 45° = cos 45°
- √2/2 ≈ 0.707
- tan 45°
- 1
- tan 60°
- √3 ≈ 1.732
- Inverse sin (sin⁻¹)
- Finds the angle when you know opp/hyp ratio
- Inverse cos (cos⁻¹)
- Finds the angle when you know adj/hyp ratio
- Inverse tan (tan⁻¹)
- Finds the angle when you know opp/adj ratio
- Pythagorean identity
- sin²θ + cos²θ = 1 for any angle θ
- Co-function identity
- sin θ = cos(90° - θ); they are complementary functions
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