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Questions and Answers
What is the value of sin(90°)?
What is the value of sin(90°)?
- 0.5
- 0
- 1 (correct)
- Undefined
Which function represents the ratio of the opposite side to the hypotenuse in a right triangle?
Which function represents the ratio of the opposite side to the hypotenuse in a right triangle?
- sine (correct)
- cosine
- secant
- tangent
What is the cosine of 30°?
What is the cosine of 30°?
- $\sqrt{3}$
- $\frac{\sqrt{3}}{2}$ (correct)
- $\frac{1}{2}$
- 1
Which angle has a tangent value of 1?
Which angle has a tangent value of 1?
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What is the relationship between the angles in a triangle?
What is the relationship between the angles in a triangle?
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Study Notes
Trigonometric Functions and Values
- The value of sin(90°) is equal to 1, indicating that at this angle, the opposite side equals the hypotenuse in a right triangle configuration.
- In a right triangle, the sine function represents the ratio of the length of the opposite side to the length of the hypotenuse.
- Cosine of 30° is √3/2, representing the ratio of the length of the adjacent side to the hypotenuse in a right triangle.
Tangent Values
- The angle with a tangent value of 1 is 45°. This means at 45°, the ratio of the opposite side to the adjacent side is equal.
Triangle Angle Relationships
- The sum of angles in any triangle is always 180°. This fundamental property plays a crucial role in various geometric calculations and proofs.
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