last math test Flashcards
Sin A=Cos B
when angles a and b are complementary
Angle of elevation
the angle formed when an observer looks upwards from a horizontal line to an object above them
Cosine ratio
the ratio of the length of the adjacent side to the hypotenuse
Hypotenuse
the longest side of a right-angled triangle, and it’s the side directly opposite the right angle
S, S, S(square root2
45 45 90 theorm in a right triangle with angles of 45°, 45°, and 90°, the ratio of the sides is 1:1:√2
Legs (of a right triangle)
the two sides that form the right angle
Sin A<Cos B
when angle A is less than the angle where cosine is equal to sine
Pythagorean triple
sets of three positive integers (a, b, c) that satisfy the Pythagorean theorem (a² + b² = c²)
Sine ratio
the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle
Angle of depression
the angle formed between the horizontal line and the line of sight when we look downwards at an object
Solving a triangle
finding the measures of all its unknown angles and side lengths, given some known information about the triangle
Trigonometry
a branch of math that studies the relationships between the angles and sides of triangles
Tangent ratio
the ratio of the side opposite of an angle to the side adjacent to the angle which is not the hypotenuse.
Law of Sines
in any triangle, the ratio of a side’s length to the sine of its opposite angle is constant for all three sides and angles
Sin A>Cos B
the sine of angle A is greater than the cosine of angle B
Law of Cosines
the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them
Acute triangle
a triangle where all three interior angles are less than 90 degrees
Obtuse triangle
a triangle where one interior angle is greater than 90 degrees
Pythagorean Theorem
establishes a relationship between the sides of a right triangle
S, S(square root 3), 2S
30 60 90 theorm the side opposite the 30-degree angle (the short leg) is half the length of the hypotenuse, and the side opposite the 60-degree angle (the long leg) is √3 times the length of the short leg
