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(10 points) First, determine the quadrant for 2; then find x, y, and r; and finally, give all six trigonometric ratios for a given the following information: csc(0) = 1 and cos(0) < 0 e lives in quadrant • X= • y = 1. sin(O) = 2. cos(0) = 3. tan(O) = 4. sec(0) = 5. csc(0) = 6. cot(0) =
Find the values of the trigonometric functions of 8 from the information given. cos(O) = - . tan(0) < 0 sin(e) = tan(e) = csce) = seca) - cot(e) -
(1 point) (12) 1.0 1 Find the value of the six trigonometric functions of 0, where is the angle formed by the positive x-axis and the line segment from (0,0) to (1.2). sin(0) - cos(0) - tan(0) - sec(0) - csc(0) - cot(0)
Use the definition or identities to find the exact value of each of the remaining five trigonometric functions of the acute angle theta. tan of theta equals sq. rt. 30 Find all other identities: sin, cos, csc, sec, cot?
The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (8, 15) sin - cos e tan o csc - sec - cot -
10. Rewrite the following expressions with exponents no greater than 1: A. sin? 2 B. cost 11. Let cos(20) 3 4 Find tan’ a sin 12. Graph two periods of the trigonometric functions: A. f(0) = 3 tan (20 – 5). B. g(x) = – cot(.x+7) C. f(x) = 2 sec(47x) + 3 D. g(0) = 5 csc -7 13. Identify the visible asymptotes for each of the graphs in question 12. 14. Write a formula to find ALL asymptotes...
Use the periodic properties of the trigonometric functions to simplify each expression to a single function of 0. cot(8 + x) • sec (0 + 2x) = 0 sin COS seco CSC tan cot U
Express in terms of a constant or a single function of 0. 1. cot? 8 + 1 2. 1 - sec 0 4. 1-csc? 5. csc 8 sin 8 cot 8 7. csc 8 tan cos 8. sin 8 sec 8 coto 10. sind 8 sec @ csc 8 11. (tan 8 + 1)2 + (tan 8 – 1)? 3. 1-sino 6. tan 8 sec 8 cos e 9. cos8 sec 8 csc 0. A2 2 sec Arin A tan...
Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and cSC(B). a 14 B (a) sin(a) and cos() (b) tan(a) and cot(6) (c) sec(a) and csc()
3 12 Smaller Triangle Larger Triangle sin = sin = cos = cos = tan 0= tan (= CSC = CSC = sec = sec = cot 8 = cot = Explain why the function values are the same. The triangles are similar so corresponding sides are proportional. The triangles are congruent so the trigonometric function values must be the same.