Exam 5: Introduction to Trigonometric Functions

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Use steps I through IV given in Section 3 to draw a sketch of y = sin t for t \in [- π\pi , π\pi ].

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Find two positive and two negative angles that are coterminal with 270°.

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Use the following to answer questions : y = Use the following to answer questions : y =   -Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. -Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0.

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Use the following to answer questions : Use the following to answer questions :   -Find the reference angle associated with the rotation. -Find the reference angle associated with the rotation.

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Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y = Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y =

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Find an additional value of t (to four decimal places) in [0, 2?) that makes cos t \approx -0.3379 true, given that cos 1.9155 \approx -0.3379.

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Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y = Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y =

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Use a calculator to find the value of csc 80°, rounded to four decimal places.

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The graph below is of the form y = A cos(Bt). Use the characteristics illustrated to determine its equation. The graph below is of the form y = A cos(Bt). Use the characteristics illustrated to determine its equation.

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Fill in the blank so that the functions given are equal. cos _____, sin 10°

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State the exact value of State the exact value of   . A diagram may help. . A diagram may help.

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Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y = -2 sin t

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Find the measure of angle B. Find the measure of angle B.

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State the exact value of State the exact value of   . A diagram may help. . A diagram may help.

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Use steps I through IV given in Section 3 to draw a sketch of y = cos t for t \in [- π\pi , π\pi ].

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Use the symmetry of the circle and reference arcs as needed to state the exact value of Use the symmetry of the circle and reference arcs as needed to state the exact value of   . A diagram may help. . A diagram may help.

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Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx).    -Use the model to evaluate the function at x = 10. -Use the model to evaluate the function at x = 10.

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Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y = Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y =

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A 9 cm stick is leaning against the curb. If the base of the stick is 4.5 cm from the bottom of the curb, find the measure of the angle the stick makes with the ground, angle α\alpha and the height of the curb x.  A 9 cm stick is leaning against the curb. If the base of the stick is 4.5 cm from the bottom of the curb, find the measure of the angle the stick makes with the ground, angle  \alpha  and the height of the curb x.

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Name the reference angle θ\theta r for θ\theta = 700°.

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