Exam 8: The Trigonometric Functions

Refer to the triangle whose sides and angles are labeled below. If t = 0.5 and a = 5, find c. Enter just a real number rounded to one decimal place (unlabeled).

$\int \frac { 5 } { \cos ^ { 2 } 3 x }$ dx Enter your answer without parentheses.

Find the indefinite integral. - $\int \cos 7 x d x$ Enter your answer without parentheses.

ln(sin 3t) Enter a quotient in terms of cosine and sine, no parentheses around arguments.

Differentiate. -sin $x ^ { 5 }$

Differentiate. -sin $\sqrt { x ^ { 4 } - 1 }$

f(x) = 2 $\cot ^ { 3 }$ x Enter your answer without parentheses, no labels, use the multiplication dot between functions..

Integrate - $\int e ^ { x } \sec ^ { 2 } \left( e ^ { x } \right) d x$

f(t) = ln(sec t)Do not label your answer, no parentheses.

A ladder leaning against a building makes an angle of 60° with the ground. If the base of the ladder is 3 feet from the building, how far up the building will the ladder reach? Enter your answer in the reduced form a $\sqrt { b }$ (no units).

Find the tangent line to the graph of f(x) = sin x + cos x at (π, -1).

$\int _ { 0 } ^ { \pi / 4 } \sec ^ { 2 } x d x$ Enter just an integer.

f(x) = $\sqrt { \tan x + \sin x }$ Enter your answer without parentheses, no labels. Enter a quotient $\frac { a } { b \sqrt { c } }$ .

Find the indefinite integral. - $\int \sin ( 3 t + 2 ) d t$ Enter your answer using parentheses around the argument of the function.

f(x) = ln(tan x) + tan x Enter your answer exactly in the form $a \cdot ( b + c )$ .

2 $\cos ^ { 2 }$ (4t)Enter cosine terms before sine terms, no parentheses around arguments.

Find the indefinite integral. - $\int \cos 2 t d t$ Enter your answer without parentheses.

3 cos x sin 2x Enter cosine terms first, no parentheses around arguments.

Convert the given angle to degree measure. - $\frac { 29 \pi } { 6 }$

Find the slope of the line tangent to the graph of y = sin $\left( \frac { \pi } { 2 } - x \right)$ - cos x at x = $\frac { \pi } { 4 }$ .