Trigonometry Flashcards
(27 cards)
What is the value of sin(90°)?
1
True or False: The cosine of an angle is always positive in the first quadrant.
True
Fill in the blank: The Pythagorean theorem states that a² + b² = ____.
c²
What is the tangent of 45°?
1
Multiple choice: Which of the following is a primary trigonometric ratio? A) Sine B) Area C) Angle D) Length
A) Sine
What does the acronym SOHCAHTOA represent?
It represents the relationships between the sides and angles of a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
True or False: The sine function is periodic.
True
What is the range of the cosine function?
[-1, 1]
Fill in the blank: The hypotenuse is the ____ side of a right triangle.
longest
What is the sine of 30°?
0.5
Multiple choice: Which function is defined as the ratio of the opposite side to the adjacent side? A) Sine B) Cosine C) Tangent D) Cotangent
C) Tangent
What is the angle whose sine is 0?
0° or 180°
True or False: The tangent function can be undefined.
True
What is the cosine of 0°?
1
Fill in the blank: In a right triangle, the side opposite the right angle is called the ____.
hypotenuse
What is the sine of 60°?
√3/2
Multiple choice: Which of the following angles has a sine of 1? A) 0° B) 90° C) 180° D) 270°
B) 90°
What is the tangent of 90°?
Undefined
True or False: The cosine of 180° is negative.
True
Fill in the blank: The opposite side in a right triangle is the side ____ the angle.
facing
What is the relationship between the angles in a right triangle?
The sum of the angles is 180°.
Multiple choice: What is the value of cos(30°)? A) 0.5 B) √3/2 C) 1 D) 0
B) √3/2
What is the sine of 90°?
1
True or False: In a 45°-45°-90° triangle, the legs are equal in length.
True
