If Ѳ is in Quadrant II, and cos Ѳ=-3/4 , find an exact value for sin 2Ѳ

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  1. Math

    1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta). 3. Let

  2. Pre-Cal

    Find sin 2x, cos 2x, and tan 2x from the given information. [1]. sin x = 8/17, x in Quadrant I 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x =________. [2]. sin x = -5/13, x in Quadrant III 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x

  3. trig

    Given sin a = 15/17 with a in Quadrant I and cos beta = 4/5 with beta in QuandrantIV, find the exact value of cos(a+beta)

  4. Math

    Find the exact value of cos(u + v) ) given that sin u= 9/41 cos nu=- 15/17 . (Both u and v are in Quadrant II.)

  5. pre calc

    Find the exact value of sin(x-y) if sinx=-3/5 in Quadrant III and cosy=5/13 in Quadrant I.

  6. Pre-Calc

    I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 12° cos

  7. math

    Find the values of sin θ, cos θ, and tan θ for the given right triangle (in the link below). Give the exact values. www.webassign.net/aufexc2/8-5-003.gif sin θ= cos θ= tan θ= my answer is c^2 = a^2 +b^2 c^2 = 5^2+12^2 c^2 = 169 c= √(169) c= 13 I

  8. Alg2/Trig

    Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in Quadrant II.) Find csc(u-v). First of all, I drew the triangles of u and v. Also, I know the formula of sin(u-v) is sin u * cos v - cos u *

  9. Trig

    Find the exact value of the trigonometric function given that sin u=3/5 and cos v=-8/17. Both u and v are in quadrant II. Tan (u+v)

  10. Pre Calculus

    Find the exact value ofcos (u+v) given that sin u= 7/25 and cos v=−12/13. (Both u and v are in Quadrant II.)

  11. Trig

    1. Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B). a) 24/80 [b)] 84/85 c) 60/80 d) 60/85 Find Cos(A+B). a) 32/80 b) -45/85 c) -13/80 [d)] -13/85 Find Tan(A+B) a) 0.8 [b)] -1.72 c) -4.21 d) -6.46 I keep getting an 1.61 answer but that

  12. Trigonometry

    4. Find the exact value for sin(x+y) if sinx=-4/5 and cos y = 15/17. Angles x and y are in the fourth quadrant. 5. Find the exact value for cos 165degrees using the half-angle identity. 1. Solve: 2 cos^2x - 3 cosx + 1 = 0 for 0 less than or equal to x

  13. Grade 12 Trigonometry

    Angle a lies in the second quadrant and angle b lies in the third quadrant such that cos(a)=-3/5 and tan(b)=24/7. Determine an exact value for a) cos(a+b) b) sin(a-b) c) sin2a

  14. Trig

    Find sin(s+t) and (s-t) if cos(s)= 1/5 and sin(t) = 3/5 and s and t are in quadrant 1. =Sin(s)cos(t) + Cos(s)Sin(t) =Sin(1/5)Cos(3/5) + Cos(-1/5)Sin(3/5) = 0.389418 Sin(s-t) =sin(s)cos(t) - cos(s)sin(t) =sin(-3/5)cos(1/5) - cos(1/5)sin(3/5) =Sin-3/5

  15. advanced functions

    Angle a lies in the second quadrant and sina=7/25. a) Determine an exact value for cos 2a b) Determine an exact value for sin 2a

  16. trig

    Find the exact value of the trigonometric function given that sin u = − 8/17 and cos v = − 3/5. (Both u and v are in Quadrant III.) cot(v − u)

  17. precalc

    Suppose that cos θ = 12/13 and that θ is a Quadrant IV angle. (a) Find the exact value of sin θ. Show work. (b) Find the exact value of sin 2θ. Show work.

  18. Calculus 12th grade (double check my work please)

    1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with respect to x. A.-sin (2x) B.-2x

  19. Pre-Calculus-check answers

    If cos theta = 0.8 and 270

  20. Pre calc

    Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)? cos(2x)? tan(2x)? I honeslty just need one good example of how to do these please show all work and finalize answer

  21. Math

    ​Angles A and B are located in the first quadrant. If sin a =5/13 and cos b= 3/5 , determine the exact value of cos (a+b) .

  22. Trigonometry

    If sin A = 3/5 and cos B = 24/25 and

  23. Trig

    Angle a lies in quadrant 2, and tan(a)= -(12/5). Angle B lies in quadrant 4, and cos(B)= (3/5). What is the exact value of sin(a+B) ?

  24. Pre-calculus help

    I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x = 2) Find sin 2x, cos 2x, and

  25. Math Answer Check

    1. Find the exact value of the expression. cos pi/16 * cos 3pi/16 - sin pi/16 * sin 3pi/16 My ans: sqrt2/2 2. Find the exact value of the sin of the angle. 17pi/12 = 7pi/6 + pi/4 My ans: (sqrt2 - sqrt6)/4

  26. Math (please help!)

    1. θ is a first quadrant angle in standard position and cos 1/(sqrt10)= . Find the exact value of sin . 2. feta is a second quadrant angle in standard position and tan(feta) -((sqrt5)/2) = . Find the exact value of cos(feta) . 3. θ is an angle in

  27. Math

    If sin(x) = 4/5 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(x-y) I know that the denominator will be 65

  28. Math!!!

    angle x is in the second quadrant and angel y is in the first quadrant and angle y is in the first quardrant such that sin x=5/13 and cos y = 3/5. Determine and exact value for cos x.

  29. Precalculus

    Use one of the identities cos(t + 2πk) = cos t or sin(t + 2πk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(19π/4) (b) sin(−19π/4) (c) cos(11π) (d) cos(53π/4) (e) tan(−3π/4) (f) cos(π/4) (g) sec(π/6+ 2π)

  30. Trig

    Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v - u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v sin u. cos (v - u) = cos u

  31. trig

    how do you work find sin (a-B)beta sign. sin a = 12/13,a lies in quadrant II,and cos B = 15/17, B lies in quadrant I.

  32. Algebra II

    Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))? A.)-cot(theta) B.)cot(theta) C.)tan(theta)-cot(theta) D.)tan(theta)-sec^2(theta) 2.)Find the exact value of:cos 375

  33. Pre calc

    Given that tanθ = 2 root 10 over 9 and cscθ < 0 , find the exact value of cos(θ − pie over 4) . I solved for the other side and got 11. After this idk what to do I was thinking using cos(a-b)=cos(a)cos(b)-sin(a)sin(b) but idk how to witht the pie/4

  34. math

    1) A bullet is found embedded in the wall of a room 2.9 m above the floor. The bullet entered the wall going upward at an angle of 39.6°. How far from the wall was the bullet fired if the gun was held 1.1 m above the floor? 2) Let sin θ = 2/7. Find the

  35. Trig Question

    Given that tan x= -3/4 and x is in the second quadrant. Find sin 2x, cos 2x, and tan 2x (Exact, no decimals). Please show step-by-step, thank you!

  36. Trig hep, please? Thank you!

    1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(

  37. MATH

    1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the half-angle formulas to

  38. Trig

    Find cos(s+t) if cos s= -1/2 and sin t= 3/5, s and t are in quadrant II. I got the answer to be -4/10 plus -3sqrt(3)/10. Is that right? Then a second problem was find sin (s+t) if sin s=2/3 and sin t=-1/3, sin is in quadrant II and t in quadrant IV. I got

  39. Math Analysis

    Find the exact value of cos(x/2) if sin x = 3/4 and x is in quadrant II. ==> I got ã(4-ã7)/2. Is this correct?

  40. Math

    sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2 x (8/17 divided by 15/17)

  41. tigonometry

    expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) Add the two equations:

  42. trig help much appreciated! :))

    1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2  – 1 + cos2 

  43. math (trig)

    Find sin(x/2) if sin(x)= -0.4 and 3pi/2 < or equal to (x) < or equal to 2pi Let's use cos 2A = 1 - 2sin2 A and we can match cos x = 1 - 2sin2 (x/2) so we will need cos x we know sin x = -.4 and x is in the fourth quadrant, so the cosine will be positive.

  44. Algebra 2

    Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

  45. Math

    Use the given information to evaluate cos (a+b). Sin a = -7/25, cot b = -8/15. Neither a nor b are in quadrant IV. exact answers only. No decimals.

  46. CALCULUS

    If cos(t)=–7/9, find the values of the following trigonometric functions. Note: Give exact answers, do not use decimal numbers. The answer should be a fraction or an arithmetic expression. a) cos (2t) b) sin (2t) c) cos(1/2) d) sin (1/2) i don't even

  47. Trig

    Given: sin x = 4/5, 0 < x < π/2 sin y = 5/13, π/2 < y < π Find the exact value of sin(x + y) I presume I'm supposed to use the sum and difference formulas but I'm not sure how to get the exactly value of cos x or cos y

  48. math

    Can someone please solve them,I just want to see examples,i will do the next 10 myself!!THX! 1)given that tan θ = 2/3 and that θ is acute,find the exact value of: a)sin θ b)cos θ c)sin^2 θ 2)given that sin given that tan θ = (√2)/5 and that θ is

  49. mth, trig

    Given cos a=-7/25 in quadrant II , and sin b=-12/13, in quadrant IV , find cos(a+b) and sin2a

  50. Pre Calculus

    Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð)

  51. Trig

    Find sin(x+y), cos(x-y), tan(x+y), and the quadrant of (x+y) if sinx= -1/4, cosy= -4/5, with x and y in quadrant 3.

  52. Trig

    Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).

  53. Pre-Calculus

    Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).

  54. pre-cal

    Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos 6x can be expressed as a series of terms that involve sin x or cos x only, but the end result is not a simplification. sin 2x = 2 sinx cosx cos 6x = 32 cos^6 x -48 cos^4 x + 18 cos^2 x -

  55. Calculus re-post

    Does anybody know how to solve this question? a) Find the arc length function for the curve measured from the point P in the direction of increasing t from P and then reparametrize the curve with respect to arc length starting from P. b) Find the point 4

  56. Math

    1. Find the exact value of 2tan pi/12 / 1-tan^2 pi/12 root 3/3? 2. Given tanθ = -1/3 and with θ in quadrant IV, find the exact value of cos2(θ) 4/5 3. Exact value of cos^2 67.5 - sin^2 67.5 root3 /2 4. The expression cos 3θ can be rewritten as 1 -

  57. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables

  58. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of sin -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables sin pi/6

  59. Please help!!!)

    If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(x-y) cos(4/5 - 5/13) Is this what I would do?

  60. math

    If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(x-y) cos(4/5 - 5/13) Is this what I would do?

  61. Math

    If sin(x) = /45 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(x-y) cos(4/5 - 5/13) Is this what I would do?

  62. trigonometry

    5. If cot 2θ = 5/12 with 0 ≤ 2θ ≤ π , find cosθ, sinθ, and tanθ 8. Find the exact value of sin2a if cosa = 4/5(a in Quadrant I) 13. Find the exact value of tan2 if sinB = 5/13 (B in quadrant II) 14. Solve sin 2x + sin x = 0 for 0 ≤ x ≤

  63. Math

    Find the exact value of the trig expression given that sin u = -5/13 and cos v = -4/5. u and v are in the second quadrant. cos(v - u)

  64. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 +

  65. Trigonometry

    Suppose *u* is a quadrant IV angle with cos(u) = 3/5. Suppose *v* is a quadrant IV angle with cos(v) = 12/13. Find the exact value of sin(u-v) I have gotten to sin120cos150 - sin150cos120 but I am not sure I am correct up to that point and I don't know

  66. Trigonometry

    find the exact value of sin 2α if cos α=4/5 (α in quadrant I)

  67. math

    If Ѳ is in Quadrant II, and cos Ѳ=-3/4 , find an exact value for sin 2Ѳ.

  68. Pre calc

    sin(θ − ϕ); tan(θ) = 5/12 θ in Quadrant III, sin(ϕ) = − sqaure root10/10 ϕ in Quadrant IV. I used the sin equation sin(a)cos(b)-sin(a)cos(b) However I am still getting the wrong answer

  69. simple trig

    If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=-a where 0

  70. easy trig

    If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=-a where 0

  71. precalculus

    given that x is in quadrant 1 and that sin x = 2/3, find exact values for: is this correct? 1) sec (30° + x) = -3/√15 2) cos (1/2 x) = √(-√5)/2

  72. Math

    Evaluate *Note - We have to find the exact value of these. That I know to do. For example sin5π/12 will be broken into sin (π/6) + (π/4) So... sin 5π/12 sin (π/6) + (π/4) sin π/6 cos π/4 + cos π/6 sin π/4 I get all those steps. The part I am

  73. math

    Sin theta equals 5/12 in quadrant, find the exact value of cos 2theta. I'm not sure how to solve this question, I need some help.

  74. Calculus

    Suppose that sin q = − 12/13 and that q is a Quadrant IV angle. (a) Find the exact value of cos q. Show work. (b) Find the exact value of sin 2q. Show work.

  75. Math- Trig

    1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^-1(20

  76. Trig

    What is the exact value of tan(s+t) if sin(s+t)=56/65. And cos(s)=5/13 and sin(t)=4/5. Everything is in the first quadrant

  77. algebra

    Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2 sin A I hope this will

  78. precalc

    Find the exact value of each expression, if it exists: the -1 are representing the inverse functions! (a) sin -1 (-√2/2) (b) cos−1 (−1) (c) sin( 􏰀sin−1 (π)􏰁) (d) cos−1􏰀(cos􏰀(−4π􏰁􏰁/ 3)) (e) tan−1 (tan(0.6)) (f) cos−1(

  79. Math

    An angle θ, in standard position, has its terminal side in Quadrant IV on the line 12x + 5y = 0. Find the exact values of sin θ and cos θ.

  80. MATH

    Hi, I really need help with these questions. I did some of them halfway, but then I got stuck. Would you please help me? Thank you so much. Prove the identity.... 1. sec x + tan x(1-sin x/cos x)=1 1/cos x + sin x/cos x(cos^2 x/cos x)=1 1+sin x/cos

  81. Algebra 2

    Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

  82. trig

    can someone please help me with this problem. i'm doing my review right now and i'm stuck? Find cos(s + t) given that cos s = 1/3, with s in quadrant 1, and sin t = -1/2, with t in quadrant 4.

  83. trig

    Reduce the following to the sine or cosine of one angle: (i) sin145*cos75 - cos145*sin75 (ii) cos35*cos15 - sin35*sin15 Use the formulae: sin(a+b)= sin(a) cos(b) + cos(a)sin(b) and cos(a+b)= cos(a)cos(b) - sin(a)sin)(b) (1)The quantity = sin(145-75) = sin

  84. trig

    Suppose sin theda= – 3/5 and theda is a Quadrant III angle. Find the exact value of sin 2 theda and cos 2 theda.

  85. Mathematics - Trigonometric Identities

    Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y +

  86. add math

    Given cos x = -3/5 , sin y =12/13 and 0º< x

  87. Trig

    Use the given information to evaluate sin (a+b). Exact answers only. No decimals. Tan a = 4/3, cos b ='-12/13; neither a nor b are in quadrant III.

  88. Trig

    Use the given information to evaluate sin (a+b). Exact answers only. No decimals. Tan a = 4/3, cos b ='-12/13; neither a nor b are in quadrant III.

  89. Math Help

    Hi! Can someone help check this for me and see if I'm doing it right? Thanks!! :) Directions: Use the Half-Angle formulas to determine the exact value of sin(pi/12). Here's what I have: π/12 = ( 180° ) / 12 = 15°. = sin ( π/12 ) = sin 15° = sin ( 45°

  90. Pre Calculus

    Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) cos(7ð/4) (g) sec(ð/6+2ð)

  91. trig

    suppose that sin(x) + cos(x) = 4/3 a)square this result and find a value for sin(x)cos(x). b)using the result from a) find the exact value of sin^3(x)+cos^3(x). (Hint: Do you recall how to factor x^3 + y^3)

  92. math

    theta is a first quadrant angle in standard position and cos theta = 1/(sqrt10) . Find the exact value of sin theta,

  93. math

    use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2 and cos (5pi/30 = 1/2 and

  94. Trig (math)

    1.) Write the complex number in trigonometric form r(cos theta + i sin theta) with theta in the interval [0°, 360°). 9 sqrt 3 + 9i 2.) Find the product. Write the product in rectangular form, using exact values. [4 cis 30°] [5 cis 120°] 3.) [4(cos

  95. math

    Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1 1/2) Sin^-1 (sin 7pi/6)

  96. math

    I really dk how to do them,i have spend hours doing it Can somebody please solve and if possible show the steps thx,just 3 questions __ 3)Given that tan theta = -✓3 and that 90 degree ≤ delta ≤ 180 degree,find the value of: a) tan delta b)cos delta

  97. Maths

    Evaluate the expression under the given conditions. sin(θ + ϕ); sin(θ) = 12/13, θ in Quadrant I, cos(ϕ) = −(2(sqrt 5))/5, ϕ in Quadrant II Thanks

  98. Trig

    suppose that the angle theta is in the second quadrant, and that sin(theta)=1/3. Find exact values for cos (theta) and csc (theta)

  99. trig

    2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3π] So I need to find general solutions to solve the equation. But do I eliminate cos(x), like this... 2sin(x)cos(x)+cos(x)=0 2sin(x)cos(x)= -cos(x) 2sin(x) = -1 sin(x) = -1/2 at 4pi/3

  100. math

    use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2 and cos (5pi/30 = 1/2 and

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