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Trigonometry Practice Sheet
Introduction
Trigonometry is a branch of mathematics that studies the relationships between angles and sides of triangles. It is used in many fields, including engineering, navigation, and architecture. This practice sheet will help you level up your knowledge about trigonometry.
Section 1: Basics
What is the definition of a triangle?
A triangle is a closed shape with three sides and three angles.
What is the definition of an angle?
An angle is the figure formed by two rays that have the same endpoint.
What is the definition of a right angle?
A right angle is an angle that measures exactly 90 degrees.
What is the definition of an acute angle?
An acute angle is an angle that measures less than 90 degrees.
What is the definition of an obtuse angle?
An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.
Section 2: Trigonometric Ratios
What is the definition of a trigonometric ratio?
A trigonometric ratio is a ratio of two sides of a right triangle.
What is the sine ratio?
The sine ratio is the ratio between the length of the side opposite an angle and the length of the hypotenuse.
What is the cosine ratio?
The cosine ratio is the ratio between the length of the side adjacent to an angle and the length of the hypotenuse.
What is the tangent ratio?
The tangent ratio is the ratio between the length of the side opposite an angle and the length of the side adjacent to an angle.
What is the cotangent ratio?
The cotangent ratio is the inverse of the tangent ratio. It is the ratio between the length of the side adjacent to an angle and the length of the side opposite an angle.
Section 3: Practice Problems
Calculate the sine of an angle with measure 45 degrees.
The sine of an angle with measure 45 degrees is 0.70710678118.
Calculate the cosine of an angle with measure 30 degrees.
The cosine of an angle with measure 30 degrees is 0.86602540378.
Calculate the tangent of an angle with measure 60 degrees.
The tangent of an angle with measure 60 degrees is 1.73205080757.
Calculate the cotangent of an angle with measure 90 degrees.
The cotangent of an angle with measure 90 degrees is 0.
Calculate the sine of an angle with measure 135 degrees.
The sine of an angle with measure 135 degrees is -0.70710678118.
