Triangle Trig Geometry

Front

What is the relationship between sin and cos in a right triangle?

Back

In a right triangle, sin(A) = cos(B) where A and B are the two non-right angles.

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If sin(57°) = cos(33°), what does this imply about the angles?

Back

It implies that 57° and 33° are complementary angles, meaning they add up to 90°.

Front

How do you find the missing angle in a triangle when two angles are known?

Back

The missing angle can be found using the formula: Missing Angle = 180° - (Angle1 + Angle2).

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by a horizontal line and the line of sight to an object below the horizontal line.

Front

In the context of a right triangle, what does the term 'adjacent side' refer to?

Back

The adjacent side is the side next to the angle of interest that is not the hypotenuse.

Front

What is the formula for finding the height of an object using the angle of elevation?

Back

Height = Distance * tan(angle of elevation).

Front

What is the relationship between the sides of a right triangle and the angles?

Back

The side opposite the largest angle is the longest side (hypotenuse), and the side opposite the smallest angle is the shortest side.