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Assignment #1: page 933 #’s 1323,30-32,(38) Find the value of the sine, cosine, and tangent functions for ϴ. 13) 14) 1 sin 3 2 2 cos 3 tan 2 4 15) 2 2 sin 3 1 cos 3 tan 2 2 sin 5 41 41 4 41 41 5 tan 4 cos Use a trigonometric function to find the value of x. 16) 75 2 17) 18) 140 5 3 19) Today, the Great Pyramid in Egypt is not as tall as when it was originally built. The square base of the pyramid has a side length of 230 m, and the sides of the pyramid meet the base at an angle of 52˚. A) What was the original height of the pyramid to the nearest meter? 147 m B) What was the original slant height of the pyramid to the nearest meter? 187 m 20) The top of the Matagorda Island Lighthouse in Texas is about 90 ft above sea level. The angle of elevation from a fishing boat to the top of the lighthouse is 10˚. A) To the nearest foot, what is the distance d between the boat and the base of the lighthouse? 510 ft B) After the boat drifts for half an hour, the angle of elevation has decreased to 4.5˚. To the nearest foot, how much farther has the boat moved from the lighthouse? 633 ft Find the values of the six trig functions for ϴ. 4 5 sin csc 5 4 3 5 cos sec 5 3 4 3 tan cot 3 4 sin 17 17 csc 17 17 4 17 sec cos 17 4 1 cot 4 tan 4 2 sin 2 2 cos 2 tan 1 csc 2 sec 2 cot 1 30) Which of the following is equal to cos 27˚? A) B) C) D) csc 63˚ sec 63˚ tan 63˚ sin 63˚ 31) Which expression represents the length of F) 12cot27˚ G) 12csc27˚ H) 12sin27˚ J) 12tan27˚ RS ? 32) If A) 3 5 B) 4 5 C) 5 4 D) 4 3 tan 3 4 , what is cos ?