Ask questions and get helpful responses.
Ask a New Question
  1. Questions

trig

If cos 0 = - 1/2 and tan 0 > 0, find the quadrant that contains the terminal side of 0, and then find the exact values of the other five trig functions of 0.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
shawn

  1. The cosine is positive in I and IV
    quadrant,negative in II and III quadrant.

    The tangent is positive in I and III guadrant,negative in II and IV quadrant.

    If cos(theta)<0 cosine is negative
    If tan(theta)>0 tangent is positive

    Only quadrant where cosine is nagative,and tangent is positive is quadrant III.

    sin(theta)= + OR - sqroot[1-cos^2(theta)]

    In quadrant III sine is negative so:

    sin(theta)= - sqroot[1-cos^2(theta)]

    sin(theta)= - sqroot[1-(-1/2)^2]

    sin(theta)= - sqroot(1-1/4)

    sin(theta)= - sqroot(3/4)

    sin(theta)= - sqroot(3) /2

    tan(theta)=sin(theta)/cos(theta)=
    [-sqroot(3)/2]/(-1/2)= + sqroot(3)=
    sqroot(3)

    ctg(theta)=1/tan(theta)=1/sqroot(3)

    sec(theta)=1/cos(theta)=1/(-1/2)= -2

    cosec(theta)=1/sin(theta)=1/[-sqroot(3) /2]= -2/sqroot(3)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Anonymous

  2. determine all trig functions of theta using the given info, state the answers correct to the nearest hundredth.
    cos (theta) = -5/13; tan (theta) < 0

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    anna

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Write the first trigonometric function in terms of the second for θ in the given quadrant. tan(θ), cos(θ); θ in Quadrant IV I believe to start this is 1/cos^2*theta. Am I write? If not, can you please help me?!

  2. 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)

  3. trig

    The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III sin(θ)= cos(θ)= tan(θ)= csc(θ)=

  4. Pre calc

    evaluate the expression under the given conditions. cos(θ − ϕ); cos(θ) = 5/13, θ in Quadrant IV, tan(ϕ) = − square root15,ϕ in Quadrant II Anyone know how to do this I have never been this confused in my life

  1. 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

  2. Trig

    If tan A= 3/4 and cos B=-5/13, where A and B are both third-quadrant angles, find sin(A+B). Please explain how you found all the answers

  3. pre calc

    tan(θ + ϕ); cos(θ) = − 1/3 θ in Quadrant III, sin(ϕ) = 1/4 ϕ in Quadrant II I am really struggling with this idk why I keep getting the wrong answers

  4. math

    If θ is an angle in standard position and tan θ = −7/2, in which quadrant can θ be located? a. quadrant 3 and quadrant 4 b. quadrant 2 and quadrant 4 c. quadrant 2 and quadrant 3 d. quadrant 1 and quadrant 2

  1. trig math

    If θ is an angle in standard position and tan θ = −7/2, in which quadrant can θ be located? a. quadrant 3 and quadrant 4 b. quadrant 2 and quadrant 4 c. quadrant 2 and quadrant 3 d. quadrant 1 and quadrant 2 help

  2. 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 =

  3. precalc

    tan(θ + ϕ); cos(θ) = − 1/3 θ in Quadrant III, sin(ϕ) = 1/4 ϕ in Quadrant II evaluate the expression

  4. trig

    Angle θ lies in the second quadrant, and sin θ = 3/5. Find cos θ and tan θ.

Still need help? You can ask a new question.