What are the definitions of trigonometric functions of any angle

The video tutorial explains the definitions of trigonometric functions for any angle, starting with the basics of trigonometric functions using special triangles and the unit circle. It then discusses how to handle angles not on the unit circle by using coordinates and forming triangles. The tutorial covers the trigonometric ratios for any angle, including sine, cosine, and tangent, and introduces the reciprocal functions: cosecant, secant, and cotangent. The video emphasizes understanding these concepts through the use of coordinates and the Pythagorean theorem.

Which special triangles are commonly used to evaluate trigonometric functions?

• 30-30-30 and 60-60-60 triangles

• 45-45-45 and 90-90-90 triangles

• 60-60-60 and 45-45-90 triangles

• 30-60-90 and 45-45-90 triangles

What is the significance of the unit circle in trigonometry?

• It helps in calculating angles greater than 360 degrees.

• It provides a way to evaluate trigonometric functions at special angles.

• It is a tool for solving algebraic equations.

• It is used to measure the circumference of a circle.

How do you determine the trigonometric ratios for a point not on the unit circle?

• By measuring the angle with a protractor

• By drawing a vertical line to the x-axis and using the central angle

• By using the distance formula

• By using the midpoint formula

What is the formula for finding the radius when given x and y coordinates?

• x^2 + y^2 = r

• x^2 + y^2 = r^2

• x + y = r

• x^2 - y^2 = r^2

Which of the following is a reciprocal trigonometric function?

• Tangent

• Cosecant

• Cosine

• Sine