Exam 6: Trigonometric Identities and Conditional Equations

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -3 + 2 cos x = 1

Find the exact value of the sum. -sin 105° + sin 15°

Identify the equation as either an identity or not. -sin (A + B) sin (A - B)

Express the given trigonometric function in terms of the indicated function. -tan in terms of sin

Find all real numbers in the interval that satisfy the equation. -2 sin x cos x - 2 sin x + cos x = 1

Write in terms of the cofunction of a complementary angle. -tan 53°

Use identities to find the exact value of the trigonometric function. -Find cos if sin .

Use identities to find the exact value of the trigonometric function. -Find sec given that tan

Use a sum-to-product identity to rewrite the expression. -cos - cos

Multiply and simplify. -(sin - 1)(sin + 1)

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Suppose someone tells you that the cosine of the difference of two angles is the difference of their cosines. Write in your own words how you would correct the person's statement.

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

Determine whether the function is odd, even, or neither. -f(x) = x csc x

Solve the problem. -The output voltage for an AC generator is approximated by v = 156 cos Find the smallest positive value of t for which the output is 76 volts.

Find all real numbers in the interval that satisfy the equation. -sin x + 1 = cos x

Use identities to find the exact value of the trigonometric function. -Find cos given that csc is in quadrant IV.

Complete the equation so the result is an identity. -

Find the exact value by using a sum or difference identity. -tan

Use a sum or difference identity to find the exact value. -sin (-165°)

Complete the equation so the result is an identity. -