An Introduction to the Trigonometric Functions (6.2.1)

Question 1

• The trigonometric functions of an angle θ are defined to be the ratios of the side lengths of a right triangle having θ as an angle.

Answer 1

• The trigonometric functions of an angle θ are defined to be the ratios of the side lengths of a right triangle having θ as an angle.

Question 2

• The three basic trig functions are sine, cosine, and tangent. They are defined as follows:
• sinθ = opposite/hypotenuse
• cosθ = adjacent/hypotenuse
• tanθ = opposite/adjacent
Their reciprocals are the cosecant, secant, and cotangent functions, respectively.

Answer 2

• The three basic trig functions are sine, cosine, and tangent. They are defined as follows:
• sinθ = opposite/hypotenuse
• cosθ = adjacent/hypotenuse
• tanθ = opposite/adjacent
Their reciprocals are the cosecant, secant, and cotangent functions, respectively.

Question 3

• Every angle can be expressed in radians regardless of starting position.

Answer 3

• Every angle can be expressed in radians regardless of starting position.