Exam 8: The Trigonometric Functions

Find the equation of the tangent line to the graph of y = ln(tan x) at x = $\frac { \pi } { 4 }$ . Enter your answer in standard slope-intercept form with any quotients reduced with π in the numerator.

Convert the given angle to degree measure. --210°

sin $x ^ { 2 }$ Do not enter parentheses around arguments.

Differentiate. -(sin $\mathrm { x } ) ^ { 7 }$

Convert the given angle to degree measure. -780°

f(x) = sec $\sqrt { x }$ Enter your answer without parentheses, no labels, leave $\sqrt { x }$ in your answer which should be entered as a quotient $\frac { a b } { c }$ in terms of functions of $\sqrt { x }$ .

Convert the given angle to degree measure. --55°

Find the t such that 0 ≤ t ≤ π and cos t = cos $\left( - \frac { 2 \pi } { 3 } \right)$ .

Find the equation of the line tangent to the graph of y = sin 2x at x = $\frac { \pi } { 2 }$ ?

Find the tangent line to the graph of f(x) = $\cos ^ { 2 }$ 2x at $\frac { \pi } { 2 } , 1$ .

$\frac { \cos x } { \sin x - 2 }$ Enter a quotient of sine functions without parentheses around the arguments of sine.

6x $\cos ^ { 2 }$ (sin x)Enter cosines before sines in terms using parentheses around arguments.

Differentiate. -f(x) = tan(cos x)

Find the indefinite integral. - $\int \sin 2 t d t$

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

Which of the following statements is false?

f(t) = cot $\left( \frac { 1 } { t } \right)$ Enter just an unlabeled quotient of functions of t. No parentheses.

Find the equation of the tangent line tangent to the graph of y = cos 3x + 2 sin x at x = $\frac { \pi } { 2 }$ . Enter your answer in standard point-slope form.

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

Find the area under the curve y = sin 2x from x = 0 to x = $\frac { \pi } { 4 }$ .