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Questions and Answers
Find the value of the hypotenuse.
Find the value of the hypotenuse.
- π
- 3
- 6Ï€ (correct)
- 4Ï€
Convert the angle from radian to degree: π radians.
Convert the angle from radian to degree: π radians.
- 60°
- 0°
- 30°
- 90° (correct)
If tan θ = 4, find the value of sin θ.
If tan θ = 4, find the value of sin θ.
- 45 (correct)
- 54
- 35
- 43
If cos θ = 45, then find the value of tan θ.
If cos θ = 45, then find the value of tan θ.
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Find the value of sin(90 + θ).
Find the value of sin(90 + θ).
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Minimum value of cos θ for −π ≤ θ ≤ π.
Minimum value of cos θ for −π ≤ θ ≤ π.
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Find the value of P.
Find the value of P.
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Find the angle ∠ABC.
Find the angle ∠ABC.
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If θ is very small, what is the value of H?
If θ is very small, what is the value of H?
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Study Notes
Trigonometry
- To find the value of hypotenuse, the formula is not provided but the options are given as π, 4, 6, and 3.
Converting Angles
- To convert angle from radian to degree, π rad = 180°
- To convert angle from degree to radian, 90° = π/2 rad
- π/3 rad = 60°
- 5π/6 rad = 150°
- 4π/3 rad = 240°
- π/4 rad = 45°
Trigonometric Identities
- If tan θ = 4, then sin θ = 4/5
- If cos θ = 4/5, then tan θ = 3/4
- sin(90 + θ) = cos θ
- Minimum value of cos θ for -π ≤ θ ≤ π is -1
Triangles
- In a triangle, the value of P can be found using trigonometric identities
- The angle of a triangle can be found using trigonometric ratios
Small Angle Approximations
- If θ is very small, then sin θ ≈ θ and cos θ ≈ 1
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