
9. You are given that u is an angle in the third quadrant and tan u...
7. You are given that u is an angle in quadrant III with sin u -, and that w is an angle in the first quadrant with tan w = ? . Calculate the exact value of each one of the following: (You should show how you get your answer) (a) cos u (b) tanu (c) sin w (d) cos w (e) sin (u - w) (f) cos (W + u)
3 12 3. If sin = and angle a terminates in the second quadrant and tan y = 5 and angle y 5 terminates in the first quadrant, then find the exact value of the following: A. cos(inty) B. sin(y - 3) C. tan-y) 7T COS." sin 4. Write each of the following as a single trigonometric function: TT A sin cos 12 12 tan-tany B 1 + tan 4 tany 5. Expand and simplify: sin ( x - 3...
question 47 and 48 please. Thanks
43. tan” x - 2 tan x = 0 44. 2 tan” x - 3 tan x = -1 45. tan- 0 + tan 0 - 6 = 0 46. sec? x + 6 tan x + 4 = 0 2.4 Evaluating Trigonometric Functions in Exercises 47-50, find the exact values of the sine, cosine and tangent of the angle. 47. 75º = 120° - 45° 48. 375º = 135° + 240° 402511 -...
use the info given below to find cos(a+b)
tan a= 3/4, with a in quadrant III
sin b= 15/17, with b in quadrant II
= O TRIGONOMETRIC IDENTITIES AND EQUATIONS Sum and difference identities: Problem type 3 Use the information given below to find cos(a+b). 3 tana= with a in quadrant III 4' 15 with B in quadrant II 17 sin B = Give the exact answer, not a decimal approximation. cos (a + B) = 0 금 X 5...
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u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
Write the correct answer in the blank. 1. Which trigonometric function is positive in the third quadrant? 2. Which trigonometric function is positive in the fourth quadrant? 3. Which trigonometric function is positive in the second quadrant? Determine in which quadrant e would lie given the following information. 4. tan 0 > 0 and sin 0 < 0 5. cos 0<0 and sin e <0 6. sin 0 > 0 and cos 0 > 0 Answer the following questions using...
5 4 If tan = and coto= find the exact value of sin(0-0). 9 Note: Be sure to enter EXACT values 1 You do not need to simplify any radicals. sin(0-0)- 2 If cosa = 0.369 and cos B 0.195 with both angles' terminal rays in Quadrant-l, find the values of (a) sin(a +B) = (b) sin(B-a) = Your answers should be accurate to 4 decimal places. Give exact answers 2 sin(a) = and cos(B) 4 5 Both angles terminate...
7. Given tan 8 = 55, 5S os o a. Sketch a circle showing the angle in the correct quadrant. Show work for finding the missing side. b. Find the exact values. sin., cos and tan in simplified form.
Write the correct answer in the blank. 1. Which trigonometric function is positive in the third quadrant? 2. Which trigonometric function is positive in the fourth quadrant? 3. Which trigonometric function is positive in the second quadrant? Determine in which quadrant would lie given the following information. 4. tan e > 0 and sine <0 5. cos 0 <0 and sin 0 <0 6. sin e > 0 and cos > 0 Answer the following questions using the given information....
6. You are given that u be an angle in standard position. In what quadrant is u if sin u > 0 and cos u < 0?