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8th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781305270336

Chapter D, Problem 49E

Textbook Problem

Prove the identity.

**49.** cot^{2}*θ* + sec^{2}*θ* = tan^{2}*θ* + csc^{2}*θ*

Single Variable Calculus: Early Transcendentals

Ch. D - Convert from degrees to radians. 1. 210Ch. D - Convert from degrees to radians. 2. 300Ch. D - Convert from degrees to radians. 3. 9Ch. D - Convert from degrees to radians. 4. 315Ch. D - Convert from degrees to radians. 5. 900Ch. D - Convert from degrees to radians. 6. 36Ch. D - Convert from radians to degrees. 7. 4Ch. D - Convert from radians to degrees. 8. 72Ch. D - Convert from radians to degrees. 9. 512Ch. D - Convert from radians to degrees. 10. 83

Ch. D - Convert from radians to degrees. 11. 38Ch. D - Convert from radians to degrees. 12. 5Ch. D - Find the length of a circular arc subtended by an...Ch. D - If a circle has radius 10 cm, find the length of...Ch. D - A circle has radius 1.5 m. What angle is subtended...Ch. D - Find the radius of a circular sector with angle...Ch. D - Draw, in standard position, the angle whose...Ch. D - Draw, in standard position, the angle whose...Ch. D - Draw, in standard position, the angle whose...Ch. D - Draw, in standard position, the angle whose...Ch. D - Draw, in standard position, the angle whose...Ch. D - Draw, in standard position, the angle whose...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the exact trigonometric ratios for the angle...Ch. D - Find the remaining trigonometric ratios. 29....Ch. D - Find the remaining trigonometric ratios. 30. tan ...Ch. D - Find the remaining trigonometric ratios. 31. sec ...Ch. D - Find the remaining trigonometric ratios. 32....Ch. D - Find the remaining trigonometric ratios. 33. cot ...Ch. D - Find the remaining trigonometric ratios. 34....Ch. D - Find, correct to five decimal places, the length...Ch. D - Find, correct to five decimal places, the length...Ch. D - Find, correct to five decimal places, the length...Ch. D - Find, correct to five decimal places, the length...Ch. D - Prove each equation. 39. (a) Equation 10a (b)...Ch. D - Prove each equation. 40. (a) Equation 14a (b)...Ch. D - Prove each equation. 41. (a) Equation 18a (b)...Ch. D - Prove the identity. 42. cos(2x)=sinxCh. D - Prove the identity. 43. sin(2+x)=cosxCh. D - Prove the identity. 44. sin( x) = sin xCh. D - Prove the identity. 45. sin cot = cosCh. D - Prove the identity. 46. (sin x + cos x)2 = 1 + sin...Ch. D - Prove the identity. 47. sec y cos y = tan y sin yCh. D - Prove the identity. 48. tan2 sin2 = tan2 sin2Ch. D - Prove the identity. 49. cot2 + sec2 = tan2 + csc2Ch. D - Prove the identity. 50. 2 csc 2t = sec t csc tCh. D - Prove the identity. 51. tan2=2tan1tan2Ch. D - Prove the identity. 52. 11sin+11+sin=2sec2Ch. D - Prove the identity. 53. sin x sin 2x + cos x cos...Ch. D - Prove the identity. 54. sin2x sin2y = sin(x + y)...Ch. D - Prove the identity. 55. sin1cos=csc+cotCh. D - Prove the identity. 56. tanx+tany=sin(x+y)cosxcosyCh. D - Prove the identity. 57. sin 3 + sin = 2 sin 2 cosCh. D - Prove the identity. 58. cos 3 = 4 cos3 3 cosCh. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - If sinx=13 and secy=54, where x and y lie between...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Find all values of x in the interval [0, 2] that...Ch. D - Graph the function by starting with the graphs in...Ch. D - Graph the function by starting with the graphs in...Ch. D - Graph the function by starting with the graphs in...Ch. D - Graph the function by starting with the graphs in...Ch. D - Graph the function by starting with the graphs in...Ch. D - Graph the function by starting with the graphs in...Ch. D - Prove the Law of Cosines: If a triangle has sides...Ch. D - In order to find the distance |AB| across a small...Ch. D - Use the figure to prove the subtraction formula...Ch. D - Use the formula in Exercise 85 to prove the...Ch. D - Use the addition formula for cosine and the...Ch. D - Show that the area of a triangle with sides of...Ch. D - Find the area of triangle ABC, correct to five...

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