trig

posted by .

how do i find six trig functions for cos(pi over 2-x)=3/5, cos x=4/5?

  • trig -

    given cos x = 4/5
    by making a diagram, you should recognize the 3,4,5 right-angles triangle
    secondly, the cosine is positive in quadrants I and IV

    in I:
    sinx = 3/5 , csc x = 5/3
    cosx = 4/5 , sec x = 5/4
    tanx = 4/3 , cot x = 3/4

    you do IV


    back to cos(pi over 2-x)=3/5
    cos (π/2 - x) = 3/5
    (cosπ/2)(cosx) + (sinπ/2)(sinx)= 3/5
    sinx = 3/5
    (hey, we knew that!)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    how would you verify this trig identity (1+cos(x) / 1-cos(x)) - (1-cos(x) / 1+cos(x)) = 4cot(x)csc(x) ?
  2. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 …
  3. trig 26

    simplify to a constant or trig func. 1. sec ²u-tan ²u/cos ²v+sin ²v change expression to only sines and cosines. then to a basic trig function. 2. sin(theta) - tan(theta)*cos(theta)+ cos(pi/2 - theta) 3. (sec y - tan y)(sec y + …
  4. trig

    find the 5 other trig functions if cos(theta) = square root of 2/2 and cotangent is less than 0
  5. 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.
  6. trig

    If cos(t)=(-7/8) where pi<t<(3pi/2), find the values of the following trig functions. cos(2t)=?
  7. trig

    find the exact values of the six trig functions of the angle. -750 sin(-750)= cos(-750)= tan(-750)= csc(-750)= sec(-750)= cot(-750)= I've tried this question over and over again and i cannot get it right. i believe -750 is in the fourth …
  8. Trig Help!

    Question: Trying to find cos π/12, if cos π/6 = square root 3 over 2, how to find cos π/12 using DOUBLE angle formula?
  9. Please help me with trig.

    One more problem.. Given sin t= 3/11 and cos t<0, find the values of the remaining 6 trig functions.
  10. Trig identity.

    I need help with verifying these trig identities: 1) sin4x = 4sinxcos - 8sin^3 x cos x 2) cos3x = cos^3 x - 3sin^2 x cos x

More Similar Questions