2. Trigonometric Functions on Right Triangles

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)

Use the triangle to find each of the six trigonometric functions of θ.

In Exercises 23–26, find the exact value of each expression. Do not use a calculator.cos² 𝜋 - tan² 𝜋 4 4

In Exercises 23–26, find the exact value of each expression. Do not use a calculator.cos 2𝜋 sec 2𝜋9 9

In Exercises 37–38, a point on the terminal side of angle θ is given. Find the exact value of each of the six trigonometric functions of θ, or state that the function is undefined.(0, -1)

If sin θ = a and cos θ = b, represent each of the following in terms of a and b.tan θ - sec θ

CONCEPT PREVIEW The terminal side of an angle θ in standard position passes through the point (― 3,― I3) Use the figure to find the following values. Rationalize denominators when applicable. r