Given sin theta = -3/5 and 0 is in quad 2, find Cos theta and tan theta

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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. Precalculus check answers help!

    1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

  3. Pre calculus

    Find cos theta and cot theta if sin =1/4 and tan theta

  4. Precalculus

    Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)-1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E 1+cot^2(theta)=csc^2(theta)

  5. trig

    Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle angle sides b and c.

  6. trig

    If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

  7. Math

    Cos square theta divided by 1-tan theta +sin cube theta divided by sin theta -cos theta = 1+sin theta *cos theta

  8. Precalculus

    Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal

  9. Trig

    Find the exact value of sin2(theta) if cos(theta) = -sqrt 5/3 and 180 < theta < 270. A)-1/9 B)-4 sqrt 5/9 C)1/9 D)4 sqrt 5/9 B? sin^2(theta) + cos^2(theta) = 1 sin^2(theta) = 1 - cos^2(theta) sin^2(theta) = 1 - (sqrt 5/3)^2 sin^2(theta) = 1 - (sqrt 25/9)

  10. math

    tan theta= 15/8 and pi< theta

  11. Math

    Which of the following functions have a vertical asymptote for values of theta such that cos theta = 1? Select two answers. y = sin theta y = cos theta y = tan theta y = sec theta y = csc theta y = cot theta I know what all these functions look like, but I

  12. Trig

    Which expression equivalent to: cos(theta + pi/2). A)cos theta B)-cos theta C)sin theta D)-sin theta my book doesnt give examples of this but my crack at it would be C b/c distributive property? and 2cos theta = sin theta

  13. trigonometry26

    If 1+sin^2 theta = 3sin theta cos theta, then prove that tan theta =1or 1/2

  14. Diagonalize

    construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible. Just write down a diagonal matrix with one zero on the diagonal and then apply an orthogonal transformation. E.g. if you start with the matrix: A = [1 ,0 0,1] And take the

  15. math (trig)

    if cos 2 theta = -(1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

  16. math

    Find the exact values of sin 2theta, cos 2 theta and tan 2 theta when cot theta = 4/3

  17. Maths- complex numbers

    Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation

  18. Pre-Calculus

    1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which polar equation is equivalent

  19. math

    Prove the identity cos theta - sin theta / cos theta + sin theta = sec 2 theta - tan 2 theta.

  20. Fluid Mechanics - The Complex Velocity potential f

    Note : Let us combine a source of strength m at the origin with a uniform flow of velocity 𝑢 parallel to the positive x-axis. Then the complex velocity potential(w = -[velocity potential(pi)] - stream function(A)*i) is; 𝑤 = −(𝑢𝑧) −

  21. Precalculus check answers help!

    1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

  22. 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

  23. Calculus

    If cos of theta= -7/12 and theta is in quadrant 2 then find a. tan(theta) cot (theta)= b. csc(theta) tan(theta)= c. sin^2(theta)+ cos^2(theta)=

  24. Math Trig Help

    sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta

  25. Math Trig

    Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!!

  26. Pre-Calculus

    Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric equations x=4t and y=t^2?

  27. Algebra

    Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

  28. Trigonometry

    Prove that 1/sin theta-tan theta and - 1/cos theta = 1/cos theta and + 1/sec theta+tan theta

  29. Trigonometry

    Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

  30. math;)

    Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2 theta=1 b. sec^2 theta-tan^2

  31. Trigonometric Functions

    Determine the Value of all six trigonometric functions of theta when given? I need help. This is for my midterm review, if anyone is willing to help, I'd appreciate it. a) sin theta= 3/5 and theta is in quadrant 1. b) tan theta= -2 and theta is in quadrant

  32. trig

    the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)

  33. Physics

    I calculated tan and sin (theta) for a physics lab experiment -- two-slit interference I had to use this equation y = L tan (theta), with y = 0.25 and L = 2 and tan (theta) came out to be 7.12 in degrees and 0.1243 in radians. I found sin (theta) by using

  34. Pre Calculas

    Complete the identity sin theta / cos theta + cos theta / sin theta = ? Do you mean (sin theta/cos theta) + (cos theta/sin theta) ? That would equal tan x + cot x = tan x + (1/tan x) = (tan^2 x + 1)/ tan x I don't see any way to further simplify it.

  35. trig

    in proving trigonometric identities if sec theta - tan theta sin theta is equal to cos theta. what is the correct answer?

  36. 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)

  37. calculus

    given 7sin^2 theta + cos theta sin theta = 6 show that tan^2 theta + tan theta - 6 = 0

  38. maths

    prove that: sin theta -cos theta +1/sin theta +cos theta-1=1/sec theta -tan theta

  39. Math

    1)Find cos theta if sin theta=3/5 and 90 degrees

  40. Trigonometry

    Use a sum of difference identity to write the expression as a single function theta: cos(theta - pi). Okay so I know we will use cosAcosA+sinBsinB I got: cos(theta)cos(theta)sin(pi)sin(pi) I don't know how to solve from here and I'm not sure if that is

  41. Calculus

    I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure what do next if this is

  42. science

    Sitting on a horizontal track is a mass of 10kg. One end of the track is raised untill the mass just begins to slip. If the coeffieient of static friction is .4 what is the minimum angle at which the mass begins to slip? mgSinTheta = mg*mu*CosTheta

  43. math

    I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = -2/3, which of the following are possible? A: cos theta= -the sqr rt of 5/3 and tan theta =2/3. B: sec theta = 3/the sqr

  44. Trigonometry

    Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0

  45. Algebra II

    Multiple Choice Which expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2 (theta) B.)(sin^(theta))/(1-cos(theta))-cos(theta) C,)sec^2 (theta)+ tan^2 (theta) D.)(cot^2(theta) sin^2 (theta))/(cos^2(theta))

  46. Trig

    1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)-cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^-1(square root of 3/2) 5. Approximate the value rounded to

  47. Trigonometry

    Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

  48. Trig

    Given sin theta = -3/5 and 0 is in quad 2, find Cos theta and tan theta

  49. trigonometry

    can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

  50. trigonometry

    can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

  51. trigonomtry

    can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

  52. precalc h

    sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec-1

  53. Precalculus(NEED HELP ASAP PLEASE!!)

    cot(theta)= 3 pi < theta < 3pi/2 Find: sin(theta)= -1 ? cos(theta)= -3 ? tan(theta)= 1/3 ? sec(theta)= -1/3 ? csc(theta)= -1 ? That's what I came up with, but they are not correct, PLEASE help me where I went wrong!!

  54. Algebra II

    Which of the following expressions are not equal to 1? A) sin^2 theta + cot^2 theta sin^2 theta B) (sin^2 theta/1-cos theta)-cos theta C) sec^2 theta + tan^2 theta D) cot^2 theta sin^2 theta/cos^2theta Answer: D

  55. 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

  56. Math

    angle theta is in the standard position and 0'=

  57. Optimization

    min 2x+y subject to: x+y+z=1 and y^2+z^2=4 Any help would greatly be apprecaited. y^2+z^2=4 ---> put y = 2 cos(theta) and z = 2 sin(theta) x+y+z=1 ----> x = 1-2(cos(theta) + sin(theta)) 2x + y = 2 - 2 cos(theta) - 4 sin(theta) It's not difficult to find

  58. precalc pre ap

    If theta is a rotation angle that terminates in quadrant ll and sin of theta is 5/13, find cos of theta and tan of theta. Use the first Pythagorean identity to solve for cos of theta and use quotient identity to solve for tan of theta.

  59. MATHS TRIGONOMETRY

    if 3sin theta =2 and cos greater than 0,with the aid of a diagram determine the value of: a) tan theta b) sin theta/cos theta c) sin^2 theta + cos^2 theta

  60. 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

  61. trig

    express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that makes an angle og alpha with

  62. trigonometry

    I need help in understanding how to identify which identity to use. using this question as an example. Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

  63. trig 26

    simplify to a constant or trig func. 1. sec ²u-tan ²u/cos ²v+sin ²v change expression to only sines and cosines. then to a basic trig function. 2. sin(theta) - tan(theta)*cos(theta)+ cos(pi/2 - theta) 3. (sec y - tan y)(sec y + tan y)/ sec y combine

  64. trig

    If sin 2 theta = (2/5) in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta.

  65. Trig

    Find the exact values of sin 2 theta, cos 2 theta and tan 2thea using the double angle formula sin theta = 3/4 , pi/2 < theta < pi

  66. trig

    h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan theta written with respect to

  67. trig

    Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get

  68. Trig Identities

    Please help...I'm not understanding trig identities and how to manipulate and express these two problems in their associated functions. Thanks a)Express as a function of cos (theta) 2 sin^2(theta) - 1 b)Express as a function of sin (theta) or cos (theta)

  69. math

    Another: theta is a second quadrant angle in standard position and tan theta = - (sqrt5)/(2) . Find the exact value of cos theta. I assume I use the equation 1 / cos(theta)^2 = 1 + tan (theta)^2 However how does this work out algebraically?

  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. 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

  72. Trig

    The point (-5/12) is on the terminal side of an angle theta in standard position. Find Sin theta, cos theta and tan theta Thank You!

  73. Precalculus 2

    Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation? cos(theta)sin(theta) - 2 cos(theta) = 0? I let Cos theta = X and sin theta = X unfortunately I end up with something

  74. Trigonometry

    The question was: "Given that sin theta is -1/2 and theta is in quadrant IV, find the cos and tan of theta." I found 1/2 for cosine and -1 for theta, but the answer sheet said I was incorrect. I am almost positive I did this correctly... can someone double

  75. Calculus

    Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help! lim (theta-pi/2)sec(theta) theta->pi/2 Answer: -1 I am not sure what to do here. lim (tan(theta))^(theta) theta->0+ Answer:1

  76. Trigonometry

    I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta = 5, tan theta 2 *

  77. Precalculus

    I have a precalculus test tomorrow and I've been studying nonstop for the past few days but I've been struggling because it has been 8 years since the last math class I have taken. My question is about half-angle formulas, My professor taught us that they

  78. Pre Calc.

    Use the sum or difference identity to find the exact value of sin255 degrees. My answer: (-sqrt(2)- sqrt(6)) / (4) Find the value of tan (alpha-beta), if cos alpha= -3/5, sin beta= 5/13, 90

  79. Precalculus(NEED HELP ASAP PLEASE!!)

    PLEASE HELP!! csc(theta)= -3/2 3pi/2 < theta < 2pi Find: sin(theta)= _____ ? cos(theta)= _____ ? tan(theta)= _____ ? cot(theta)= _____ ? sec(theta)= _____ ?

  80. calculus

    conic sections prove that the line x-2y+10=0 touches the ellipse 9x^2+64y^2=576 show that the equation of the normal to the ellipse x^2/a^2 + y^2/b^2 = 1 at the point (a cos theta, b sin theta ) is ax sin theta - by cos theta - (a^2-b^2) sin theta cos

  81. math

    put these polar equations into cartesians form: 1) theta=135 degrees 2)rcostheta=-1 for #1 is it like: (-1,1)? and for #2, X=-1, but i cant find y, any help is appreciated The slope should be sin(theta)/cos(theta) and the intercept is the origin.

  82. Physics

    An object is shot at 20m/s at an angle theta. The object lands 24m away. What is the angle? Can you check if I am doing this right? I had v(initial) = 20 m/s g = 9.8 m/s^2 x = 24m 1st I solved for time: x = v(initial) t x = v(initial) cos(theta) t 24 = 20

  83. trig

    Hi, I need to find the domain and rnge of the following: 1. X= 1/2 (cos theta + theta sin theta) Y=1/2 (sin theta - theta cos theta) total guess here, but here goes Domain cos theta = +/- 1 and domain sin theta = +/- 1 so domain theta sin theta = 0-

  84. Trigonometry

    express in terms of sine and cosine. a) tan theta/ cot theta i know the answer is sin^2 theta / cos ^2 theta but how do you do it?

  85. Calc

    Calculate the exact values of sin(theta) cos(theta) and tan (theta) when theta=240 degrees. How would I do this with and without a calculator?

  86. MATH

    prove tan (theta/2)= (sin(theta))/(1+cos(theta))for theta in quadrant 1 by providing the calculation along with the reason. I appreciate the help.

  87. Trigonometry

    [Sin^2(theta) - tan(theta) ] / [cos^2(theta) - cot(theta)] = tan^2(theta) I am supposed to prove that the left side of the equation is supposed to be equal to the right side. And I been confused on how to solve it.

  88. Physics

    thanks for answering the question I got another one... A 15.0 kg box is released on a 30 degree incline and accelerates down the incline at .30 m/s^2. Find the firctiopn force impeding its motion. What is the coefficient of kinetic friction? SIGMA F_x = m

  89. trigonometry

    Given Cos (theta)= 0.5, find Sin (theta) and tan (theta), correct to 2 decimal places.

  90. Precalculus(NEED HELP ASAP PLEASE!!)

    PLEASE HELP!! sin(theta)= 1/3 pi/2 < theta < pi Find: cos(theta)= ______ ? tan(theta)= ______ ? cot(theta)= ______ ? sec(theta)= ______ ? csc(theta)= ______ ?

  91. Trigonometry

    If cot 2(Theta) = 5/12 with 0 (less than or equal to) 2(Theta) (Less than or equal to) Pi, find the cos(Theta), sin(Theta), and tan(Theta).

  92. trig

    If tan theta = sin theta, and theta is greater than or equal to 0 and less than or equal to 2 pi. find cos theta and what is theta

  93. trig

    Write each identity expression in terms of:1. cos theta= a. sin^2theta ---------- sec^2theta-1 2. tan theta= a. sec theta over sin theta minus sec theta over cosecant theta.

  94. trig

    tan(theta)-1= sin^2(theta)-cos^2(theta)/ sin(theta)cos(theta)+cos^2(theta) prove each identity

  95. trig

    given that cos(theta)= (3/5) and sin (theta)

  96. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an example prior to the

  97. math

    There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees

  98. Trigonometry

    Okay, I have been given a trigonometric equation to solve (sin^2(theta) + cos(theta) = 2). So far, I have been able to use the Pythagorean identity to get (-cos^2(theta) + cos(theta) - 1 = 0), which I then multiplied by -1 on both sides to get:

  99. Mathamatics

    Solve the following trigonometry identities. a) 1-cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1-cos2(theta))(1-tan2(theta))=sin2(theta)-2sin4(theta)/1-sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is

  100. math

    Hi ! Here is my question: The pythagorean theorem gives the relationships between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle. sin^2(theta) + cos^2(theta) = 1

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