2. Trigonometric Functions on Right Triangles

In Exercises 9–16, evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined.cot 𝜋2

In Exercises 9–16, evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined.tan 𝜋2

In Exercises 17–22, let θ be an angle in standard position. Name the quadrant in which θ lies.sin θ > 0, cos θ > 0

In Exercises 17–22, let θ be an angle in standard position. Name the quadrant in which θ lies.sin θ < 0, cos θ < 0

In Exercises 17–22, let θ be an angle in standard position. Name the quadrant in which θ lies.tan θ < 0, cos θ < 0

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.cos θ = -3/5, θ in quadrant III

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.sin θ = 5/13, θ in quadrant II

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.cos θ = 8/17, 270° < θ < 360°

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.tan θ = -2/3, sin θ > 0

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.tan θ = 4/3, cos θ < 0

In Exercises 23–34, find the exact value of each of the remaining trigonometric functions of θ.sec θ = -3, tan θ > 0

In Exercises 33–42, let sin t = a, cos t = b, and tan t = c.Write each expression in terms of a, b, and c.tan(-t) - tan t

In Exercises 33–42, let sin t = a, cos t = b, and tan t = c.Write each expression in terms of a, b, and c.3 cos(-t) - cos t

In Exercises 33–42, let sin t = a, cos t = b, and tan t = c.Write each expression in terms of a, b, and c.sin(-t - 2𝜋) - cos(-t - 4𝜋) - tan(-t - 𝜋)

In Exercises 33–42, let sin t = a, cos t = b, and tan t = c.Write each expression in terms of a, b, and c.cos t + cos(t + 1000𝜋) - tan t - tan(t + 999𝜋) - sin t + 4 sin(t - 1000𝜋)