The intro to the trig functions for points on the unit circle

The video tutorial covers the basics of triangles, focusing on right triangles and the Pythagorean theorem. It introduces trigonometric functions such as sine, cosine, and tangent, explaining their ratios using the acronym SOHCAHTOA. The tutorial also discusses reciprocal trigonometric functions like cosecant, secant, and cotangent. Finally, it introduces the unit circle, emphasizing its radius of 1 and the significance of x and y coordinates in determining trigonometric values.

What is the special theorem associated with right triangles?

• Thales' theorem

• Pythagorean theorem

• Fermat's Last Theorem

• Euclid's theorem

Which side of a right triangle is always opposite the 90-degree angle?

• Adjacent

• Opposite

• Hypotenuse

• Base

Which trigonometric function is defined as the ratio of the opposite side to the hypotenuse?

• Cosine

• Tangent

• Secant

• Sine

If a right triangle has an angle θ, which side is opposite to θ?

• Adjacent

• Opposite

• Base

• Hypotenuse

In the acronym SOHCAHTOA, what does 'CAH' stand for?

• Cosine equals opposite over hypotenuse

• Cosine equals adjacent over hypotenuse

• Cosine equals hypotenuse over adjacent

• Cosine equals adjacent over opposite

What is the tangent function defined as in terms of triangle sides?

• Hypotenuse over opposite

• Opposite over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

What is the reciprocal of the sine function?

• Cotangent

• Secant

• Tangent

• Cosecant

Which function is the reciprocal of cosine?

• Tangent

• Cotangent

• Secant

• Cosecant

What is the radius of a unit circle?

• 2

• 1

• 0

• π

On the unit circle, what does the x-coordinate represent?

• Tangent

• Cosine

• Sine

• Cosecant