Math Answer Check

P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ. P(-8, -8)

Ans:

cotangent: 1
secant: negative square root 2
cosecant: negative square root 2
sin: square root 2 / 2
cosine: square root 2 / 2
tan: 1

  1. 👍 0
  2. 👎 0
  3. 👁 267
  1. cotangent: 1
    secant: negative square root 2
    cosecant: negative square root 2
    *sin: square root 2 / 2
    *cosine: square root 2 / 2
    tan: 1

    The terminal side lands in the third quadrant, where only tangent (and cotangent) is positive. So sine (cosec) and cosine (sec) are all negative.

    Use this as a guide:

    S|A
    ---
    T|C

    Starting from Q1, we can use
    "All Students Take Calculus" to help memorize the positive functions.
    (A=all 6 functions)

    1. 👍 0
    2. 👎 0
  2. So I change sin and and cosine to make them negative?

    1. 👍 0
    2. 👎 0
  3. Yes, that is correct, but try to understand why you do that by studying the unit circle.

    1. 👍 0
    2. 👎 0
  4. Thanks! Yes, I will study it.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra II

    The terminal side of θ in standard position contains each point. Find the exact values of the six trigonometric functions of θ. Given point: (7, -6)

    asked by Anonymous on May 9, 2016
  2. trig

    If θ is an angle in standard position and its terminal side passes through the point (20,-21), find the exact value of sec(θ).

    asked by Anonymous on December 9, 2011
  3. Pre-Cal

    Find the exact sine value of the angle in standard position whose terminal side goes through the point (-1,5) I do not know when to start

    asked by Abbey on March 19, 2010
  4. math

    If θ is an angle in standard position and its terminal side passes through the point (6,5), find the exact value of \tan\thetatanθ.

    asked by brock on March 20, 2020
  5. trig

    Given that θ is an angle in standard position whose terminal side contains the given point, provide the exact value of the indicated function. (-2, -3) Find sec θ.

    asked by tony on June 11, 2013
  1. math(advanced algebra&trigonometry)

    If a is an angle in standard position and its terminal side passes through the point (-3,2), find the exact value of csc a. Answer: radical 13/2

    asked by Rony on April 3, 2010
  2. Precal

    Find the exact values of tangent and cosecant for angle theta in standard position whose terminal side passes through the point (16,-4)

    asked by Em on November 4, 2012
  3. math

    P(-5, 5) is a point on the terminal side of θ in standard position. What is the exact value of sec θ?

    asked by Anonymous on September 3, 2015
  4. trig

    P(2, 9) is a point on the terminal side of è in standard position. What is the exact value of tan è?

    asked by Parker on September 26, 2011
  5. trig

    (a) sketch an angle A in standard position whose terminal ray passses through the point (1,-4) (b) Find the exact value of the six trigonometric functions of A, (c) Let B be the reference angle of A. Find a point on the terminal

    asked by patrick on September 15, 2012
  6. trig

    Suppose that q is in standard position and the given point is on the terminal side of q. Give the exact value of the indicated trig function for q.

    asked by Anonymous on February 21, 2011

More Similar Questions