Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent

The video tutorial introduces trigonometry, focusing on right triangles and their properties. It explains the trigonometric functions sine, cosine, and tangent, using the mnemonic SOHCAHTOA. The tutorial also covers the reciprocal functions cosecant, secant, and cotangent. It concludes with an exploration of special triangles, specifically the 30-60-90 and 45-45-90 triangles, and their trigonometric values.

What is the relationship between the radius of a circle and the hypotenuse of a right triangle formed in the coordinate plane?

• The radius is shorter than the hypotenuse.

• The radius is equal to the hypotenuse.

• The radius is always longer than the hypotenuse.

• The radius is unrelated to the hypotenuse.

Which mnemonic helps remember the definitions of sine, cosine, and tangent?

• Quadratic Formula

• FOIL Method

• Pythagorean Theorem

• SOHCAHTOA

What is the reciprocal of the sine function called?

• Cosecant

• Tangent

• Secant

• Cotangent

Which of the following is NOT a reciprocal trigonometric function?

• Cosecant

• Tangent

• Secant

• Cotangent

In a 30-60-90 triangle, what is the sine of the 30-degree angle?

• 1/Root 3

• 1/2

• Root 2/2

• Root 3/2

For a 45-degree angle in a 45-45-90 triangle, what is the value of the tangent function?

• Root 2/2

• 1/2

• Root 3

• 1

What is the cosine of a 60-degree angle in a 30-60-90 triangle?

• 1/2

• Root 3/2

• Root 3

• 1