If sinA=3/5 when pi/2 < A < pi and cosB=5/13 when 3pi/2 < B < 2pi, find the exact value of the function cos(5pi/6+B)

1,475 results
  1. Calculus

    Find all points of extrema on the interval [0, 2pi] if y=x+sinx (-1.-1+(3pi/2)) (pi, pi) (-1,0) ((3pi/2), 0) none of these I got pi as my critical number but I'm confused with the intervals.

  2. Algebra 2

    Find the values of the inverse function in radians. sin^-1(0.65) a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n 2. tan^-1(0.09) a.-0.09+2pi n b. no such angle exists c.-1.48+ pi n d.

  3. Algebra 2

    What values for theta(0

  4. Math

    If A and B are acute angle such that SinA=8/17 and CosB=3/5.Find 1, Cos(A+B) 2, Sin(A+B) 3, Sin(A-B)

  5. Math

    if sinA+sinB=x and cosA-cosB=y then find tan[(A-B)/2]

  6. Pre-Calculus

    If sinA=3/5 when pi/2 < A < pi and cosB=5/13 when 3pi/2 < B < 2pi, find the exact value of the function cos(5pi/6+B).

  7. Trigonometry

    If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2

  8. Precalculus

    Solve for x given the interval of [0,2pi). cos^2x=2+2sinx I got (3pi)/2 or 270 degrees.. By the way, does the notation [0,2pi) mean 0

  9. APCalculus

    For the function y=2sin(x)-cos^2(x) on [0, 2pi] find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up

  10. Trigonometry

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  11. math

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  12. Advanced Functions

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  13. Math

    If 1/sinA+1/cosA =1/sinB+1/cosB, prove that: cot(A/2+B/2) = TanA. TanB

  14. trig

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  15. math

    if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2

  16. Pre-Calc/Math

    Given cos x=2/3 and 3pi/2

  17. Trigonometry

    If sinA=3/5 and cosB=5/13 and if A and B are measures of two angles in Quadrant I, find the exact value of the following functions. cotB = sin2A= 3)cos(5pi/6 + B) = tan(A - pi/4) =

  18. precalculus

    Find the tan(x), the sin (x + pi) if it is known that cos (x)=.6 and that (3pi)/2 less than x less than 2pi. Find the sine (2x), the tan (2x), and the cos (x/2) if it is known that cos (x)=.6 and that (3pi)/2 less than x less than 2pi.

  19. Pre-calculus (Trigonometry)

    The rotating spotlight from the Coast Guard ship can illuminate up to a distance of 250 m. An observer on the shore is 500 m from the ship. HIs line of sight to the ship makes an angle of 20 degrees with the shoreline. What length of shoreline is

  20. Trigonometry

    IfA=340°, prove that 2sinA/2 = -(v1+sinA) + (v1-sinA)

  21. Pre-Calculus

    Hello, I need a bit of help with the following problem: If sinA=3/5 when pi/2 < A < pi and cosB=5/13 when 3pi/2 < B < 2pi, find the exact value of the following equations: cotB = sin2A = tan(A-pi/4)=

  22. Pre-Calculus-check answers

    State the period and phase shift of the function y=-4tan(1/2x + 3pi/8) a) 2pi, -3pi/4 b) pi, 3pi/8 c) 2pi, 3pi/8 d) pi, -3pi/8 Answer: d 2) What is the equation for the inverse of y=cos x+3: a) y=Arccos(x+3) b) y=Arccos x-3 c) y=Arccos x+3 d) y=Arccos(x-3)

  23. Calculus

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  24. Trig

    Find all solutions of the equation in the interval [0,2pi) 2 cos^2 x-cos x = 0 -2cos^2 + cosx + 0 (x+1/2) (x+0/2) (2x+1) (x+0) -1/2,0 2Pi/3, 4pi/3, pi/2, 3pi/2 my teacher circled pi/2 and 3pi/2 What did I do wrong? I don't understand...

  25. precalculus

    Given sina= 3/4 and cosB = (-5)/13 and this is Quad II find cos(a+B)

  26. trig

    Solve the equation for cos theta-tan theta=0 for greater than or egual to zero but less than 2pi. Write your answer as a multiple of pi, if possible form the following choices: pi , 5pi A. --- ---- 4___ 4 B. pi 3pi 5pi 7pi ----- '----- '-----'----- 4_____

  27. math

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  28. Trigonometry

    4. Write the equation of the cosine function with an amplitude of 1/3, a period of 2pi, and a phase shift of 3pi/2. I got 1/3COS(1/2x-3pi), but I really do not think that is correct D: any tips or advice?

  29. Trig - check my answers plz!

    1. (P -15/17, -8/17) is found on the unit circle. Find sinΘ and cosΘ Work: P= (-15/17, -8/17) cosΘ = a value P = (a,b) sinΘ = b value Answer: cosΘ = -15/17 sinΘ = -8/17 2. Should the triangle be solved beginning with Law of Sines or Law of Cosines.

  30. Trig

    Please help with this one. I've worked it out in so many ways and can't tell what's correct. sinA sinA ----- - ------ 1+sinA 1-sinA Which answer is correct for the problem above? a) 1+cotA b) sinA tanA c) -2tan^2A d) secA cscA common denominator: 1-sin^2 A

  31. Maths

    (1) Find the value of B between 0 degree and 360 degree which satisfy the equation SinB+Sin²B=0 (2) Find the value of A between 0 degree and 360 degree which satisfy the equation (2CosA+1)(1-CosA)=0 (3) 2Sin²A-SinA-1=0 (4) 4Cos²A+2CosA=1 (5)

  32. Trigonometry

    Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis

  33. trig

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  34. Math

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  35. Maths

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  36. trig

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  37. Maths

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  38. trig

    Solve cos x-1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2

  39. math

    find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x- 3.14/3) =1 sin^4 x cos^2 x Since sin (a+b) = sina cosb + cosb sina and sin (a-b) = sina cosb - cosb sina, the first problem can be written 2 sin x cos (pi/3)= sin x The solution to sin x =

  40. further mathematics

    Let P=(cosA sinA) (sinA cosA) Q=(cosB sinA) (sinB cosA) show that PQ=(cosA(A-B) sin(A B)) (sinA(A B) cos(A-B))

  41. calculus

    given the graph of f(x) = x sinx, 0

  42. Math

    If the function is: f(x)=2cos(x)-1 [0,2pi] A) What are the intervalos of concacity? B) What are the inflection pinta My answers: A) concave down: [0,pi/2) and (3pi/2, 2pi] concave up: (pi/2, 3pi/2) B) inflection points: (pi/2, -1) (3pi/2, -1) Please check

  43. CALC HW

    FIND THE X VALUES OF ALL POINTS, -2PI LESS THAN OR EQUAL TO X LESS THAN OR EQUAL TO 2PI, WHERE Y=X+B IS TANGENT TO Y=X+BSINX. I KNOW THE ANSWER IS PI/2 AND 3PI/2, BUT WHY AREN'T THEY PLUS OR MINUS. If they are tangent, they have the same coordinates, and

  44. Pre-Cal(Please check)

    Approximate the equation's solutions in the interval (0,2pi) sin2x sinx = cosx 2cos(x) (1/2-sin^2x) = 0 Then I got 3pi/2, pi/2, pi/6 and 5pi/6 Then I substituted 0-3 and got 3pi/2 , 5pi/2 , 9pi/2 , pi/2, pi/6, 7pi/6, 13pi/6 , 19pi/6 , 5pi/6 , 11pi/6 ,

  45. precal desperate

    Given sina= 3/4 and cosB = (-5)/13 and this is Quad II find cos(a+B)

  46. maths

    Please can you help me with this question? Choose the option which is a false statement: A arctan(tan2/3pi))=-1/3pi B arccos(cos(3/4pi))=3/4pi C sin(arcsin(-1/2pi))=-1/2pi D arcsin(1/2squareroot3)=1/3pi E arcsin(sin(3/4pi))=1/4pi F arccos

  47. Math

    If sinA+sinB=1/2 and cosA+cosB=1/2 then the value of tanA+tanB

  48. mathematics

    if sinA+sinB=x and cosA-cosB=y then find tan[(A-B)/2]

  49. Math III

    What values for theta(0

  50. math

    Given that [sin(A-B)/cos(A+B)]=1/3[tan(A-B)], find the values of cosB if sinA=1/2

  51. trig

    if tan x= 4/3 and pip < x < 3pi/2, and cot y= -5/12 with 3pi/2 < y < 2pi find sin(x-y)

  52. Math2

    IF (1/SinA)+(1/cosA)= (1/sinB)+(1/cosB) Prove that cot((A+B)/2)=tanA tanB Please helppppppppppp

  53. pre cal

    cosA (-7/25) pi < A < 3pi/2 sin B= -3/5 3pi/2

  54. Precalculus

    Solve for x given the interval of [0,2pi). cos^2x=2+2sinx I got (3pi)/2 or 270 degrees.. By the way, does the notation [0,2pi) mean 0

  55. Math:)

    A weight is attached to a spring that is oscillating up and down. it takes 3 sec. for the spring to complete one cycle, and the distance from the highest to lowest point is 4 in. What equation models the position of the weight at time t seconds? a.

  56. calculus

    given the graph of f(x) = x sinx, 0

  57. Please Help!!!

    given the graph of f(x) = x sinx, 0

  58. Math

    Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]? 4? ...what about 4cos2θ = 8cos^2 2θ? 2. True or False: sin^2 4x = 1 has 8 solutions on the interval [0, 2pi]?

  59. Maths

    Hi, can someone give me the answer to this question: secA-tanA=1/4. Find cosA I got: CosA=4(1-sinA) Is my answer good? Now multply each side by (1+sinA) CosA(1+sinA)=4 cos^2 A CosA=1/4 (1+sinA) 16(1-sinA)=1+sinA 15=17SinA So you have sinA, now find Cos A

  60. Math

    If A and B are acute angle such that SinA=8/17 and CosB=3/5.Find 1, Cos(A+B) 2, Sin(A+B) 3, Sin(A-B)

  61. Trigonometry.

    Use the given information to evaluate cos (a-b). Cot a = 3/4, cot b = 24/25; pi

  62. Calculus

    1) The period of a trig. function y=sin kx is 2pi/k. Then period of y=sin^2(pi.x/a) should be 2pi/(pi/a)=2a, but somewhere it is given as a. Which is correct? 2) The period of r=sin^3(theta/3) is given as 3pi. How is it worked out? Is it because after

  63. Pre-Cal(Please check)

    1) Find the Asymptotes: y = -2 sec 2pi x pi/2b and 3pi/2b pi/2(2pi) = pi/4 and 3pi/4 Is this correct? 2) Find the period and asymptotes: y = 1/2 sec pi x / 2 b = pi/2 I do not know how to find the period of asymptotes for this one. My original answer was 1

  64. ordinary differential equation

    a periodic function f(t) is defined by f(t) = t+pi -pi

  65. calculus

    Given the function y = 2cos(x) - 1, use Calculus methods to determine the: a) intervals of increase and decrease b) local max and mins c) intervals of concavity d) inflection points my answers: a) decrease: [0,pi) increase: (pi,2pi] b) local min: (pi,-3)

  66. Algebra2

    Find the values of the inverse function in radians. 1. sin^-1(0.65)? answer choices: a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n My answer is B

  67. Math

    CosA+cosB-cosC=4COSA/2 cosB/2 SINC/2-1

  68. Math

    Hello I am having trouble with proving this: sinA/secA+secA/cscA = tan(A)(2-sin^2(A)) So far I've gotten SinA/(1/cosA) + (1/cosA)/(1/sinA) SinACosA + sinA/cosA I am stuck here, not even sure if multiplying by the reciprocal was the right step..

  69. Trigonometry

    I really need help with this trigonometry question.please any help is appreciated. 1.I have to draw the graph of y=cos x from 0deg to 360deg. 2.Be sure to show a table of vales similar to the this table. colum X l colum :y=sinx 0 l 0.00 pi/10 l 0.31 pi/5 l

  70. pre-calc

    Can someone help me find the exact value of 4csc(3pi/4)-cot(-pi/4)? Thanks! cotx =1/tanx cscx = 1/sinx If you find it easier to conceptualize in degrees, realize that pi/4 radians is 45º and 3pi/4 is then 135º If you know the CAST rule, it is easy to see

  71. Pre calc

    Evaluate the expression given that cosine a=4/5 with 0

  72. Math

    For questions 2 and 3, use a calculator to find the values of the inverse function in radians. sin^-1(0.65) 0.71 + 2pi n and –0.71 + 2 pi n 0.71 + 2 pi n and –3.85 + 2 pi n 0.86 + 2pi n and –0.86 + 2pi n –0.61 + 2pi n and 2.54 + 2 pi n

  73. Math

    Match each ratio in the first row with an equivalent ratio from the second row if angle A plus angle B = 90 degrees. SinA CosA TanA CscA SecA CotA SinB CosB TanB CscB SecB CotB Pleaseeee help!!

  74. Math

    In any angle ABC prove that the perimeter = a/Sin A(Sin A + Sin B + Sin C) Start with perimeter = a+b+c but b= aSinB/sinA and c= aSinC/SinA and if you don't remember, a=a=a*SinA/ SinA

  75. trig

    Match each ratio in the first row with an equivalent ratio from the second row if angle A plus angle B = 90 degrees. SinA CosA TanA CscA SecA CotA SinB CosB TanB CscB SecB CotB Does this question even make sense?

  76. Math

    The circumference of a circle, divided by its radius equals A. pi/2 B. pi C. 3pi/2 D. 2pi I got D, is that correct?

  77. Math-precalc

    Compute or solve the following in radians without a calculator a. csc x=2, pi/2 ≤ x ≤ pi b. cot x= -1 , 3pi/2 ≤ x ≤ 2pi Thanks!

  78. Math

    In the interval 0

  79. math-PLEASE CHECK

    Find the surface area and volume of each of the following figures: d.Right circular cylinder v=pir^2h pi(3)(3)(6) pi(54) v=169.6 cubic cm sa=2pi r^2 + 2pi rh 2pi(3)(3)+2pi(3)(6) 2pi(9)+2pi(18) 56+113=169 Sa=169 square cm is this right???

  80. Calculus help??

    I'm not sure how to solve this and help would be great! d/dx [definite integral from 0 to x of (2pi*u) du] is: a. 0 b. 1/2pi sin x c. sin(2pi x) d. cos (2pi x) e. 2pi cos (2pi x) This is the fundamental theorem, right? What's confusing me is the u and du

  81. Trig

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  82. Trig

    Use a half-angle identity to find the exact value for sec(x/2) if sinx = -12/13 ; 3pi/2 < x < 2pi

  83. Math

    Test for symmetry with repsect to Q=pi/2, the polar axis, and the pole. r=16cos 3Q r=16cos(3pi/3 + 3h) = 16(cos3pi/2 3h- sin 3pi/2 sin h) cos 3pi/2 = 0 sin 3pi/2 = -1 Not symmetrical My teacher said that this was wrong!Why?

  84. Math

    Test for symmetry with repsect to Q=pi/2, the polar axis, and the pole. r=16cos 3Q r=16cos(3pi/3 + 3h) = 16(cos3pi/2 3h- sin 3pi/2 sin h) cos 3pi/2 = 0 sin 3pi/2 = -1 Not symmetrical My teacher said that this was wrong!Why?

  85. Trigonometric Identities

    Verify/prove the following: (sinA+tanA)/(1+secA) = sinA ______________________________ tanu = 1+sinu-cos^2u/cosu(1+sinu) __________________________________ cotu = (2+cscu/secu)-2cosu ______________________________ tanAsinA/tanA+sinA = tanA-sinA/tanAsinA

  86. trig

    If S is an element of [ 3pi/2 , 2pi ] what quadrant does the terminating side lie in and evaluate for sine theta

  87. math

    1)Find the amplitude of y=6cos4theta A)3/2 B)6 C)4 D)pi/2 I chose B 2)Find the period of y=tan5theta A)10pi B)2pi/5 C)5pi D)pi/5 I chose D 3)Find the phase shift of y=sin(theta-3pi/4). A)3pi/4 B)-3pi/4 C)4pi/3 D)-4pi/3 I chose A 4)Find the vertical shift

  88. Maths

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  89. trig

    Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t whenever possible. 2pi 3pi/4 5pi/6 Three questions. I think those are supposed to be t.

  90. math

    Hello there, im doing an equation and its mind boggling me badly so i want to see if im doing something wrong or not. It goes like this: sinx - Squareroot of 3/2 > 0 x € [0,2pi) i start by moving the sqroot of 3.. so i have sinx >sq3/2. as of that my

  91. algebra

    i need someone to explain to me how i got this answer...i know the answer but i need an explanation to the problem... C=2pi(r) the answer is r=C/2pi...i need someone to explain it to me..thank you C = 2pi(r) Divide both sides by 2pi C/2pi = r ----> r =

  92. Pre-calculus

    Find in terms of a & pi, the sum of the first 50 terms of the series: a+pi, a^2+2pi, a^3+3pi...where a is a fixed real number.

  93. math

    Find in terms of a & pi, the sum of the first 50 terms of the series: a+pi, a^2+2pi, a^3+3pi..where a is a fixed real number.

  94. Trig

    can you please simplify these in faction form? (pi/3) +1=? (2pi/3) +1=? (3pi/4) +1=? (5pi/4) +1=? (5pi/3) +1=? thank you so much!

  95. Trig - Ambiguous Cases

    Triangle HAV has

  96. Math

    What is the exact answer to cos^2x - sin^2x = 0 for between 0 and 2pi? I got x = pi/4 and x = 5pi/4. But the answer key says there are two additional answers which are 3pi/4 and 7pi/4. I don't know how to get these. Any help is much appreciated!

  97. calculus

    For large values of n, the Riemann sum 1/n(sin0 + (pi/2n) + sin(2pi/2n) +sin(3pi/2n)+...sin((n-1)pi/2n)) is an approximation for which of the following integrals?

  98. precalculus

    Solve sin theta=-1 for all real values of theta. Is it theta=3pi/2 +2pi n for n=0+ infinity?

  99. math

    Solve each equation for 0

  100. Trig

    IfA=340°, prove that 2cosA/2 = -(v1+sinA) - (v1-sinA)

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