Evaluate the following. Show you work:

A). tan^-1(tan(5π/6))

B). cos^-1(cos(-π/4))

Can someone please show me the steps to evaluating this problem. I've been working this for 2 hours today and all of last night, I still can't seem to figure it out. Please leave notes if possible.

  1. 👍
  2. 👎
  3. 👁
  1. each inverse trig function has a principal domain. Review those.

    tan 5π/6 = -tan π/6 = -1/√3
    but, tan^-1(-1/√3) = -π/6

    cos -π/4 = cos π/4 = 1/√2
    but, cos^-1(1/√2) = π/4

    1. 👍
    2. 👎
  2. Thank you.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. pre-calc helpppp

    Find sin x/2, cos x/2, and tan x/2 from the given information. (show work please) thank you!!! cos x = − 4/5, 180° < x < 270°

  2. 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

  3. Pre-Cal

    Find sin 2x, cos 2x, and tan 2x from the given information. [1]. sin x = 8/17, x in Quadrant I 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x =________. [2]. sin x = -5/13, x in Quadrant III 1). sin 2x =________. 2). cos

  4. math

    Fill in the blank. To find the area of any triangle, use one of the following three formulas: Area = __________. a) 1/2 bc sin(A), 1/2ab sin(C), or 1/2ac sin(B) b) a/sin(A), b/sin(B), or c/sin(C) c)1/2bc cos(A), 1/2ab cos(C), or

  1. 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. sin θ= cos θ= tan θ= my answer is c^2 = a^2 +b^2 c^2 = 5^2+12^2 c^2 =

  2. Pre-calculus help

    I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x =

  3. solving trig. equations

    tan(3x) + 1 = sec(3x) Thanks, pretend 3x equals x so tanx + 1 = secx we know the law that 1 + tanx = secx so tanx + 1 becomes secx and... secx = secx sec(3x) = sec(3x) [just put 3x back in for x- you don't really have to change 3x

  4. Precalculus

    I am trying to submit this homework in but i guess i'm not doing it in exact values because it is not accepting it. I know i'm supposed to be using half angle formulas but maybe the quadrants are messing me up. Please help! Find

  1. Trig.......

    I need to prove that the following is true. Thanks (2tanx /1-tan^x)+(1/2cos^2x-1)= (cosx+sinx)/(cosx - sinx) and thanks ........... check your typing. I tried 30º, the two sides are not equal, they differ by 1 oh , thank you Mr

  2. precalculus PLEASE HELP!!

    Find a simplified expression for cos(tan^(-1)(x/5)) Evaluate cos(sin^(-1)(1/11)), giving your answer as an exact value (no decimals)

  3. Trig

    A. Find simpler, equivalent expressions for the following. Justify your answers. (a) sin(180 + è) (b) cos(180 + è) (c) tan(180 + è) B. Show that there are at least two ways to calculate the angle formed by the vectors [cos 19,

  4. Trigonometry

    A calculator is broken so that the only keys that still work are the sin, cos, tan, cot, sin^-1, cos^-1, and tan^-1 buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q,

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