1 16. Given e is an acute angle with cos 0 =-, find the value of + tan (20). tan Hint: Find each (using half angle or double angle formulas) and add them up. V15 А. 35 2/15 В. 35 -2V15 С. 35 12/15 D. 35 5V15 14 F. None of the above E.
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- Match the expression in Column B to complete the statement in Column A. Input the letter that corresponds to your answer on the space provided. Use uppercase letters. COLUMN A COLUMN B SE-0) dx = - 4 In|x| +C 1. А. 4х В. 4* С. 4 4 D. Е. х2 F. 2Vx G. 8* Н. 2х I. sin'x J. 3 sin x K. sin(3x) L. 32х M. Vx2 N. xe* O. P. cot x Q. cot?x R. 2 cot xMatch the expression in Column B to complete the statement in Column A. Input the letter that corresponds to your answer on the space provided. Use uppercase letters. COLUMN A COLUMN B А. 4х В. 4* 2. dx = 6Vx + C С. 4 D. 4 E. x? F. G. 8* H. 2x I. sinx J. 3 sin x K. sin(3x) L. 32x M. Vx2 N. xe* O. * 4 Р. cot x Q. cot?x R. 2 cot xCarlos walked 10 miles at an angle of 20° north of due east. _2. Which equation would give the value of x? A. x= 10 cos 20° B. x = 10 sec 20° C. x = D. x =- 10 10 miles cos 20° 10 sec 20° 20 E _3. How far is Carlos from his starting point? A. 10.54 miles C. 9.39 miles B. 10 miles D. 8 miles _4. Rabiya walks 25 yards across the diagonal of a rectangular field. If the angle between the width and the diagonal is 67°, how wide is the field? А. 63.98 yds В. 27.16 yds C. 23.01 yds D. 9.77 yds _5. What is the length of a rafter that makes an angle of 35° with the floor of an attic whose center is 9.5 meters from the edge? A. 5.45 m В. 7.78 m С. 11.60 m rafter D. 13.54 m 95m
- Find cos 0. Туре + or - [?] (-5,-12)C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 3. *v=_ (2+vz r2+VZ х. 4х — х2Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. 2 cos X- V = 0 .. Choose the correct answer below. + nT, where n is any integer} 4 А. В. + 2nt, wheren is any integer Oc. + NT, 4 + nT, where n is any integer 4 OD. + 2nn, 4 + 2nt, wheren is any integer 4
- 7. What is the equation that is true for all values of the variable in the domain? B. identity C. trigonometry A. conditional D. domain 8. Simplify tan@cose sine A. 4 В. 3 С. 2 D. 1Solve for 0 if 4sin 0 + 4 = 6 and 0 < 0 < 2n. Select the correct answer below: 0 = % only 5л O 0 = 1 and 0 = 6 5л 5л 0 = and 0 = 3 O 0= 즉 only O e = only θ=DSimplify. Assume that no radicands were formed by raising negative numbers to even powers. 11.9_10 VX y°z 3/11,9_10 Vx''y°z (Simplify your answer. Type in radical form.)
- Q13. (i) Write down the value of sin 30 as a fraction. (ii) NOT TO SCALE 30-4x (x- 3)2 30 B In triangle ABC, angle ACB =90° and angle ABC = 30°. AC (x-3) and AB (30-4x). Use your answer to part (b)(i) to write down an equation in x. Show that it simplifies to x2-4xr-6-0. (iii) Solve the equation x- 4x- 6-0. Show all your working and give your answers correct to 2 decimal places. (iv) Find the length of AB when AC is greater than 10.Solve the equation on the interval 0s0<2n. 2 cos 0+ V3 cos 0 = 0 ..... Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is 4 }. (Simplify your answer. Type an exact answer, using t as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution.Find all solutions of the equation in the interval 0, 2n). sinx (2 cosx-/3)=0 Write your answer in radians in terms of T. If there is more than one solution, separate them with commas. JT 0,0,. 미