Exam 1: Trigonometric Functions

Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= $- 1.8 , X _ { \max } = 1.8 , X _ { \text {scl } } = 1 , Y _ { \min } = - 1.2 , Y \max = 1.2 , Y \mathrm { scl } = 1$ . Set the functions to $\mathrm { X } _ { 1 \mathrm {~T} } = \cos \mathrm { T } , \mathrm { Y } _ { 1 \mathrm {~T} } = \sin \mathrm { T }$ . Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle. -90° - 38°21´

Classify the triangle as acute, right, or obtuse and classify it as equilateral, isosceles, or scalene. -tan((2n + 1)· 90°)

Identify the quadrant for the angle satisfying the following conditions. --85°

Give an expression that generates all angles coterminal with the given angle. Let n represent any integer. - $345 ^ { \circ }$

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. -10°

Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, coterminal with the given angle. -160°

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the indicated trigonometric function value of . Do not use a calculator. - $2 x + 7 y = 0 , x \geq 0 ; \quad$ Find $\cot \theta$

Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal side of . -(4, -2)

The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle. -52°17´

Evaluate the expression. -Find $\cot \theta$ , given that $\csc \theta = - \frac { 3 } { 2 }$ and $\theta$ is in quadrant III.

Perform the calculation. -279°39´ + 139°38´

Solve the problem. -Supplementary angles with measures 2x + 7 and 3x - 2 degrees

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure. -csc (° °)and cot (° °)

Find the angle of least positive measure coterminal with the given angle. -652°

Place your graphing calculator in parametric and degree modes. Set the window for $\mathrm { Tmin } = 0$ , $\mathrm { Tmax } = 360$ , $\mathrm { Tstep } = 1 , \mathrm { Xmin } =$ $- 1.8 , X _ { \max } = 1.8 , \mathrm { Xscl } = 1 , \mathrm { Ymin } = - 1.2 , \mathrm { Y } \max = 1.2 , \mathrm { Y } \mathrm { scl } = 1$ . Set the functions to $\mathrm { X } _ { 1 \mathrm {~T} } = \cos \mathrm { T } , \mathrm { Y } _ { 1 \mathrm {~T} } = \sin \mathrm { T }$ . Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle. -For what angle $\mathrm { T }$ is $\sin \mathrm { T } \approx 0.174$ ? (Assume $0 ^ { \circ } \leq \mathrm { T } \leq 90 ^ { \circ }$ .)

Evaluate the expression. - $\mathrm { II } , \frac { \mathrm { x } } { \mathrm { r } }$

Solve the problem. Round answers to the nearest tenth if necessary. -Find tan ϴ, given that cos ϴ = -0.25881905 and ϴ is in quadrant II.

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. - $\mathrm { IV } , \frac { \mathrm { x } } { \mathrm { y } }$

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. - $\csc \theta$ , given that $\sin \theta = \frac { 1 } { 4 }$

Solve the problem. Round answers to the nearest tenth if necessary. -II, $\frac { x } { y }$