Post a New Question

Trig

posted by .

Find the value of the six trigonometric functions.
t = 7(pi)/4

Can you show me step by step so I can see how this is solved? Also, do I need to graph this first in order to understand or begin the problem? I am trying to self teach - but having problems.

  • Trig -

    t = 7(pi)/4 Radians.
    7(p1)/4 * 180/(pi) = 315 deg,
    315 deg. is in 4th quadrant where sine
    and tangent are negative.

    sin315 = -0.707 = -sqrt(2)/2 = y/r,
    x^2 + y^2 = r^2,
    x^2 + (-sqrt2)^2 = 2^2,
    x^2 + 2 = 4,
    x^2 = 2,
    x = sqrt(2).

    sin315 = y/r = -sqrt(2)/2,
    cos315 = x/r = sqrt(2)/2,
    tan315 = y/x = -sqrt(2)/sqrt(2) = -1,

    csc315 = 1/sin315 = 2/sqrt(2) = 2sqrt2/2 = sqrt2.

    sec315 = 1/cos315 = 2/swqrt2 = 2sqrt2/2
    = sqrt2.

    cot315 = 1/tan315 = 1/-1 = -1.

    Notice that no radicals were left in the denominators.

    The 6 trig functions in decimal form
    are easily found using the calculator:

    sin315 = -0.707,
    cos315 = 0.707,
    tan315 = -1,

    csc315 = 1/sin315 = -1.414,
    sec315 = 1/cos315 = 1.414,
    cot315= 1/tan315 = -1.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Rate determining step

    I don't understand how to get a rate determining step. I have an energy diagram for a two-step conversion where the first step Ea is about 18 units. The energy then goes down about 4 units and rises again about 10 units to the peak …
  2. Trig help?

    The question is: State the vertical shift and the equation of the midline for y = 4cosθ-1?
  3. Math !!!!!!!!

    Ok i have a Summer Math Assignment & i really need help on this qs. it's part B of the qs. so i'll show you the whole thing Part 2. Extended Reponse Qs. (2 points each) Answer each qs.. Show all Work Qs. 5 Adrian correctly solved two …
  4. TRIGONOMETRY

    I don't understand how to convert -3-4i to polar coordinates. I need to know how so I am ready for my trig final next year. Can someone please show me step by step how to solve this?
  5. algebra functions

    construct two composite functions, Evaluate each composite function for x=2. i do not fully understand functions yet can someone explain and show me what to do step by step f(x)=x+1 g(x)=x-2
  6. Trig - sum and difference formulas

    Write the expression as a single trigonometric functions: cos 6x cosx - sin6x sin x if you could do it step by step?
  7. Algebra 1 Explanation (Anyone, please!)

    Please, can anyone explain the concept of graphing quadratic functions to me?
  8. Geometry

    The lengths of the sides of a triangle are 3x, 5x – 12, and x + 20. Find the value of x so that the triangle is isosceles. Can somebody show me a step-by-step process of how to get the answer(s) please?
  9. Math Need Help

    Integrate it step by step using inverse trigonometric functions. ∫(4/(4-5x))dx
  10. Math

    I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 − …

More Similar Questions

Post a New Question