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1. Use a half-angle formula to find the exact value of the expression sin 165°. 2. Identify a and ß in the following expression, which is the right-hand side of the formula for cos (a - ß). cos (170°) cos (50°) + sin (170°) sin (50°)A. a = - 170°, ß = 50°B. a = 50°, ß = - 170°C. a = - 50°, ß = 170°D. a = 170, ß = 50° 3. Find all solutions to .A. for any integer nB. for any integer nC. for any integer nD. for any integer n 4. Use the figure below to find the exact value of the trigonometric function cos 2θ. 5. Which expression could you use to help you evaluate . 6. Solve the problem sin 8x - sin 2x.A. 2 sin 3x cos 5xB. 2 sin 3xC. 2 cos 2x cos 5xD. 2 sin 5x cos 3x 7. Write 2 sin x cos 6x as a sum or difference of trigonometric functions.A. sin 7x - sin 5xB. cos 5x + cos 7xC. cos 5x - cos 7xD. sin 7x + sin 5x 8. Solve the following equation on the interval 9. Using a double-angle formula, find cos 420°.10. Complete the following identity:A. sin x tan xB. sec x csc xC. 1 + cot xD. - 2tan2 x 11. Use a half-angle formula to find the exact value of the expression cos 112.5°. 12. Which expression could be used to fill in the blank in sin x _______ = tan x to create a valid trigonometric identity?A. sec xB. tan xC. sin xD. cos x 13. Use trigonometric identities to find the exact value of the expression below. 14. Use the figure to find the exact value of the trigonometric function cos 2θ.15. Use trigonometric identities to find the exact value of the following expression. 16. To which of the expressions below is equivalent? 17. Rewrite the following expression as a simplified expression containing one term.18. Express the product of sin 5x cos 2x as a sum or difference. 19. Find the exact value of the following by using a sum or difference identity. sin (185° - 65°)
At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
a box contains 3 yellow,2 blue,and 4 red pencils.suppose you choose a pencil,replace,then choose another.find the probabnility of chooing yelllow,then red.
Find the optimal dove-tail turtle mortality rate percentage that will maximize revenue - State what the maximum profit will be.
Evaluate integral of [z/(z^2 + 2z + 5)] dz , c = unit circle
n-state tuition and fees at Virginia Commonwealth University (VCU) was $9517 for the 2011-12 academic year. The CPI for 2011 was 224.9 and the CPI for 2001 was 177.1. What is the 2011-2012 tuition in 2001 dollars
An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by R(x)=150x and its monthly cost in dollars is given by c(x)=120x+7200.
A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 120 ft wide at the top and 60 ft wide at the bottom and with legs of length 80 ft. Find the hydrostatic force on the dam when it is full of water.
What type of growth pattern is represented here?
a. Use the model to predict the selling price of a house that is 1860 square foot. b. A house with 1860 square feet recently sold for $95000. Explain why this is not necessarily what the model predicted. c. If you were going to use multiple regressi..
A ladder leans against wall with the base of the ladder 16 ft from the wall and with the top of the ladder touching the top of the wall. The ladder is pushed towards the wall so that the top 5 ft of the ladder stick up over the wall. How far was the ..
Let E be the region in R3 bounded by the three coordinate planes and the plane x+4y+2z = 4. Set up a triple integral which calculates the volume of E (you do not need to evaluate).
The total number of fish will depend on the size of a pond or aquarium. At the reading mandarin restaurant a total of 90 tropical fish were placed in an aquarium. For the next 12 months the total number of fish could be predicted by the equation.
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