Exam 8: The Trigonometric Functions

Convert the given angle to degree measure. -6°

Suppose $\frac { \pi } { 4 }$ ≤ x ≤ $\frac { 3 \pi } { 4 }$ . Which of the following statements can be made about tan x?

Find the indefinite integral. - $\int ( \sin x + \cos x ) d x$

Refer to the triangle whose sides and angles are labeled below. If t = 0.6 and a = 4.1, find b. Enter just a real number rounded to one decimal place (unlabeled).

Find the area under the curve y = sin 2x + cos x for 0 ≤ x ≤ $\frac { \pi } { 4 }$ . Enter as $\frac { \sqrt { a } + b } { 2 }$ .

f(t) = $\frac { \sec 3 t } { \tan 5 t }$ Enter your answer without parentheses or labels. Enter a quotient of functions of t of form $\frac { a - b } { c }$ using multiplication dots between all functions of t.

The U.S. Geological Survey estimates that the normal stream flow of the Potomac River (in millions of gallons per day) is given by the function $f ( t ) = 4200 + 3000 \cos \left( \frac { \pi } { 6 } t + \frac { 5 \pi } { 12 } \right)$ where t denotes the number of months after January 1. Determine the maximum and minimum daily stream flows of the Potomac River. Enter your answer exactly as a, b where a represents the maximum and b represents the minimum,both integers separated by a comma, no units or words.

Differentiate. - $\frac { \sin x } { \cos x }$