Find the coordinates for each circular point. Sketch your own figures - don't look back in the text.


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Determine the signs of a and b for the coordinates (a,b) of the circular points indicated. First determine the quadrant in which the circular points lie. [Note: /2 ~ 1.57, ~ 3.14, 3/2 ~ 4.71, and 2 ~ 6.28.]


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Find all solutions for 0 x < 2, then write an expression that represents all solutions for the equation without any restrictions on x.


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If W(x) = (a, b), indicate whether the statement is true (T) or false (F). Sketching a figure should help you decide.


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Find all solutions x, -2 x 2, such that:


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Find all solutions to the equation.


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Find the exact value of the expression (if it exists) without the use of a calculator.


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For which values of x, 0 x 2, is the expression not defined?


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How does the functional value vary as x varies over the indicated intervals? [Hint: Draw a unit circle and note that W(x) = (a, b) = (cos x, sin x).]


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Use appropriate identities to solve.


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Use the basic identities to find the values of the other five circular functions given the indicated information.


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Find the smallest positive x (in terms of ) for which:


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Exercise Set 5-4

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Find the value of the trigonometric function for an angle that has a terminal side containing the point indicated.


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Evaluate exactly, using reference angles, if appropriate, without using a calculator.


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For which values of , 0° < 360°, is the expression not defined? Explain why.


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Find the smallest positive in degree and radian measure for which:


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Find the value of each of the other five trigonometric functions for an angle of , without finding , given the information indicated. Sketching a reference triangle should be helpful.


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Exercise Set 5-5

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Solve each triangle, using the information given and the triangle labeling in the figure.



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APPLICATION


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