Exam 6: Trigonometric Identities and Conditional Equations

Find the exact value of the expression using the provided information. -Find cos(A - B) , with A in quadrant III, and cos , with B in quadrant III.

Use an appropriate identity to find the exact value of the expression. -cos (285°)

Find an equivalent algebraic expression for the given composition. -sec(arccos(x))

Decide whether the expression is or is not an identity. -

Find all angles in [0°, 360°) that satisfy the equation. -sin

Use odd and even identities to simplify the expression. -(1 + sec x)(1 - sec(-x))

Prove the identity. - = 1 - tan v cot u

Use identities to simplify the expression. -

Find all angles in [0°, 360°) that satisfy the equation. -cos

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -

Find the exact value of the sum. -cos + cos

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos (90° + x)

Complete the equation so the result is an identity. -(sec x - tan x)(sec x + tan x) =