Stitz-Zeager_College_Algebra_e-book

A more complete graph of y cotx is below along with

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Unformatted text preview: = (d) sec(θ) = 7 with θ in Quadrant IV 10 (e) csc(θ) = − √ with θ in Quadrant III 91 (f) cot(θ) = −23 with θ in Quadrant II 3. Use your calculator to approximate the following to three decimal places. Make sure your calculator is in the proper angle measurement mode! (a) csc(78.95◦ ) (c) cot(392.994) (e) csc(5.902) (g) cot(3◦ ) (b) tan(−2.01) (d) sec(207◦ ) (f) tan(39.672◦ ) (h) sec(0.45) 4. Find all angles which satisfy the following equations. √ (a) tan(θ) = 3 (b) sec(θ) = 2 (c) csc(θ) = −1 √ 3 (d) cot(θ) = 3 (e) tan(θ) = 0 (f) sec(θ) = 1 (i) tan(θ) = −1 (j) sec(θ) = 0 (g) csc(θ) = 2 (h) cot(θ) = 0 (k) csc(θ) = − 1 2 5. Solve each equation for t. Give exact values. (a) cot(t) = 1 (b) tan(t) = 1 2 (c) sec(t) = − √ 3 (d) csc(t) = 0 √ (e) cot(t) = − 3 √ 3 (f) tan(t) = − 3 2 (g) sec(t) = √ 3 2 (h) csc(t) = √ 3 √ (i) cot(t) = 3 650 Foundations of Trigonometry 6. A tree standing vertically on level ground casts a 120 foot long shadow. The angle of elevation from the end of the shadow to the top of the tree is 21.4◦ . Find the height of the tree to the nearest foot. With the help of you...
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