Basic Trig Flashcards
What is the sine of an angle in a right triangle?
The ratio of the length of the opposite side to the length of the hypotenuse.
What is the cosine of an angle in a right triangle?
The ratio of the length of the adjacent side to the length of the hypotenuse.
What is the tangent of an angle in a right triangle?
The ratio of the length of the opposite side to the length of the adjacent side.
True or False: The sum of the angles in a triangle is always 180 degrees.
True
What is the Pythagorean theorem?
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Fill in the blank: The sine function can be abbreviated as ___.
sin
Fill in the blank: The cosine function can be abbreviated as ___.
cos
Fill in the blank: The tangent function can be abbreviated as ___.
tan
What is the range of the sine function?
The range is from -1 to 1.
What is the range of the cosine function?
The range is from -1 to 1.
What is the range of the tangent function?
The range is all real numbers.
True or False: The sine of 90 degrees is 1.
True
True or False: The cosine of 0 degrees is 0.
False
What is the value of tan(45 degrees)?
1
What is the relationship between sine and cosine for complementary angles?
sin(θ) = cos(90° - θ)
What is the sine law?
In any triangle, the ratio of a side length to the sine of its opposite angle is constant.
What is the cosine law?
c² = a² + b² - 2ab * cos(C), where c is the side opposite angle C.
What are the coordinates of the unit circle at 0 degrees?
(1, 0)
What is the value of sin(30 degrees)?
0.5
What is the value of cos(60 degrees)?
0.5
What is the value of tan(30 degrees)?
√3/3
What is the period of the sine function?
360 degrees or 2π radians.
What is the period of the cosine function?
360 degrees or 2π radians.
What is the period of the tangent function?
180 degrees or π radians.
