trig

Simplify and write the trigonometric expression in terms of sine and cosine: cot(-x)cos(-x)+sin(-x)=-1/f(x)=f(x)=____________

I've tried everything, I think that the "-1/f(x)" part is screwing up my answer but I'm not sure what it's asking me to do with that?

  1. 👍
  2. 👎
  3. 👁
  1. I will "simplify and write the trigonometric expression in terms of sine and cosine"
    the part "=-1/f(x)=f(x)=____________ "
    makes little sense to me

    cot(-x)cos(-x)+sin(-x)
    = (cos(-x))/sin(-x))(cos(-x) + sin(-x)
    = (cosx/-sinx)(cosx) - sinx
    = - cos^2 x/sinx - sin^2 x/sinx
    = -(cos^2 x + sin^2 x)/sinx
    = -1/sinx

    1. 👍
    2. 👎
  2. thank you, the answer is just:
    =sin(x)

    1. 👍
    2. 👎
  3. No, it isn't
    the simplification of the expression is
    -1/sinx, as you can see from my steps

    however,
    if -1/f(x) = -1/sinx
    then f(x) = sinx

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A horse runs 15 m [N 23° E] and then 32 m [S 35° E]. What is the total displacement of the horse? I can't even visualise this... My friend told me the basic steps on how to solve it, but I got the wrong answer anyways... d1 = 15

  2. self-study calculus

    Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t)=cos(t)I -cos(t)j+sin(t)k I don't know what to do. I let x=cos(t), y=-cos(t) and z= sin(t). Should I let t be any

  3. math

    Simplify and write the trigonometric expression in terms of sine and cosine: tan^2 x-sec^2 x=

  4. Pre-Calc

    1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 12° cos 18° − sin 12° sin 18° And Find its exact value. 2) Use an Addition or Subtraction Formula to write the

  1. Pre-Calc

    I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of

  2. Pre-Cal

    Write the trigonometric expression in terms of sine and cosine, and then simplify. 1). (csc θ − sin θ)/(cos θ) ____________. 2). Simplify the trigonometric expression. (cos u + 1)/(sin u) + (sin u)/(1 + cos u) ______________.

  3. precalculus

    Write the trigonometric expression in terms of sine and cosine, and then simplify. cos u + sin u tan u

  4. math trigonometry

    Simplify the following expression to a single trigonometric term sin(360-x)*tan(-x)/cos(180 x)*(sin^2A cos^2A) answer= -sinx*-tanx/cosx*(1) after that how do i continue?

  1. Trigonometry

    Add and subtract as indicated. Then simplify your answer if possible. Leave answer in terms of sin(θ) and/or cos(θ). (Remember to enter trigonometric powers such as sin2(x) as (sin(x))2.) 1/sin-sin=

  2. mathematics

    Write the following trigonometric expression in terms of sine and cosine, and then simplify. sin^2 x (1 + cot^2 x)

  3. Pre-Cal

    Write the trigonometric expression in terms of sine and cosine, and then simplify. tan u sin u + cos u _____________.

  4. MATHS - URGENT

    Write the expression in terms of sine only. 8(sin 2x − cos 2x)

You can view more similar questions or ask a new question.