Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles.
What are the basic trigonometric functions?
The basic trigonometric functions are sine, cosine, and tangent.
What is sine?
Sine is the ratio of the length of the side opposite the angle to the hypotenuse in a right triangle.
What is cosine?
Cosine is the ratio of the length of the side adjacent to the angle to the hypotenuse in a right triangle.
What is tangent?
Tangent is the ratio of the length of the side opposite the angle to the side adjacent to the angle in a right triangle.
What is the Pythagorean Theorem?
The Pythagorean Theorem states that 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.
What is the unit circle?
The unit circle is a circle with a radius of 1 unit used to understand the values of trigonometric functions for any angle.
What are the trigonometric ratios for special angles?
For special angles (0°, 30°, 45°, 60°, and 90°), the values of sine, cosine, and tangent can be determined without using a calculator.
What is the relationship between the trigonometric functions?
The trigonometric functions are related through various identities and formulas, such as the sine and cosine rule.
What are the applications of Trigonometry?
Trigonometry is used in a wide range of fields such as engineering, physics, architecture, and navigation.
What is the domain and range of trigonometric functions?
The domain of trigonometric functions is all real numbers, and the range depends on the specific function.
What are the inverse trigonometric functions?
Inverse trigonometric functions are used to find the angle corresponding to a given ratio of sides.
What is the Law of Sines?
The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all three sides of a triangle.
What is the Law of Cosines?
The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
What is the difference between acute, right, and obtuse angles?
An acute angle is less than 90°, a right angle is exactly 90°, and an obtuse angle is greater than 90°.