18. (5 pts) ne If tan 8 = 4, determine the exact value of tantan he...
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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? +...
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9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
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...
1. (5 pts. Use identities to find the exact values of cos 0 and tan 0 if sin =- and is in the third quadrant. Show your work.
Use the given information to find the exact value of the expression. 4 5 22) tan a = , a lies in quadrant III, and cos B = - 3' ß lies in quadrant II 13 Find a) sin (a - b) and b) tan (a + b). 9
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 appropriate reciprocal identity to find the exact value of csc o for the given value of sin e sin = - csc 01 (Type an integer or a fraction. ) Enter your answer in the answer box. Identify the quadrant(s) of an angle that satisfies the given conditions. cos > 0, sec 0 > 0 Choose the correct answer below. O A. I and IV OB. I and III O C. II and III OD. III and IV...
Find the exact value of the expressions cos(α+β), sin(α+β) and tan(α+β) under the following conditions: sin(α)=4/5,α lies in quadrant I, and sin(β)=15/17,β lies in quadrant II.
1. Find the exact value of the trig functions below.* 5 poin 1. a 5 3 4 sin = CSC 0 = Cos Ꮎ = sec 0 = tan = cot 0 = Your answer
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9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x)) = 10) From a point on a cliff 85 feet above water level an observer can see a ship. The angle of depression to the ship is 40. How far is the ship from the base of the cliff? sec? x 11) Verify the identity: -tan’x = tan x cotx 12) Find all solutions algebraically in the interval [0, 2T): sec? - 3 tan...