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A Trig Functions Cheat Sheet is a reference guide that provides information on different trigonometric functions, such as sine, cosine, and tangent. It helps to simplify calculations and solve problems related to triangles and angles.

Q: What are trigonometric functions?

A: Trigonometric functions are mathematical functions that relate angles to ratios of the sides of a right triangle.

Q: What are the primary trigonometric functions?

A: The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan).

Q: What is the sine function?

A: The sine function calculates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

Q: What is the cosine function?

A: The cosine function calculates the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Q: What is the tangent function?

A: The tangent function calculates the ratio of the length of the side opposite an angle to the length of the adjacent side in a right triangle.

Q: What is the reciprocal of sine?

A: The reciprocal of sine is cosecant (csc) and it is equal to the reciprocal of the sine function.

Q: What is the reciprocal of cosine?

A: The reciprocal of cosine is secant (sec) and it is equal to the reciprocal of the cosine function.

Q: What is the reciprocal of tangent?

A: The reciprocal of tangent is cotangent (cot) and it is equal to the reciprocal of the tangent function.

Q: What are the common angles used in trigonometry?

A: The common angles used in trigonometry are 0°, 30°, 45°, 60°, and 90°.

Q: What is the unit circle?

A: The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane.

Q: What are the trigonometric identities?

A: Trigonometric identities are equations involving trigonometric functions that are true for all values of the variables.

Q: What is the Pythagorean identity?

A: The Pythagorean identity states that sin^2(x) + cos^2(x) = 1.

Q: What is the relationship between trigonometric functions and right triangles?

A: Trigonometric functions can be used to calculate the ratios of the sides of a right triangle, given an angle.

Q: What are the applications of trigonometry?

A: Trigonometry is used in a wide variety of fields, such as engineering, physics, architecture, and navigation.

Q: What is the range of values for sine, cosine, and tangent?

A: The range of values for sine, cosine, and tangent is -1 to 1.