trig

posted by .

Find all solutions of the equation: cot x sec x = 2 cot x.

A) x = 2ð/3 + nð or x = 4ð/3 + nð or 0 + nð
B) x = 2ð/3 + 2nð or x = 4ð/3 + 2nð or 0 + nð
C) x = ð/3 + 2nð or x = 5ð/3 + 2nð or 0 + nð
D) x = ð/3 + nð or x = 5ð/3 + nð or 0 + nð

  • trig -

    cot x sec x = 2 cot x.
    cotx secx - 2cot x = 0
    cotx(secx - 2)
    cotx = 0 or secx = 2

    if cotx = 0
    the cotangent is zero when the tangent is undefined, and the tangent is undefined at 90º (pi/2) and 270º (3pi/2)
    or
    cosx/sinx = 0
    cosx = 0 , x = pi/2 or 3pi/2

    if secx = 2
    cosx = 1/2, x = pi/3 or 5pi/3

    add n(2pi), where n is an integer, to get the general solutions.

  • trig -

    Who the hell is teaching 2nd graders this!?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Trig

    I'm trying to verify these trigonometric identities. 1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x) 2. csc(x) - sin(x) = cos(x) * cot(x) 3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x) 4. csc(-x)/sec(-x) = -cot(x)
  2. trig

    Find all solutions of the equation: 2 cosx + sqrt2 = 0 A) x = ð/4 + 2nð or x = 7ð/4 + 2nð B) x = 3ð/4 + 2nð or x = 5ð/4 + 2nð C) x = ð/4 + nð or x = 7ð/4 + nð D) x = 3ð/4 + nð or x = 5ð/4 + nð
  3. trig

    prove the identity sec^2x times cot x minus cot x = tan x
  4. trig

    For each expression in column I, choose the expression from column II to complete an identity: Column I Column II 1. -tanxcosx A. sin^2x/cos^2x 2. sec^2x-1 B. 1/sec^2x 3. sec x/cscx C. sin(-x) 4. 1+sin^2x D.csc^2x-cot^2x+sin^2x 5. …
  5. Trig

    Find all solutions of equation on interval [0,2pi] 1=cot^2x + cscx
  6. Pr-Cal/Trig

    1)if the graph of f(x)=cotx is transformed by a horizontal shrink of 1/4 and a horizontal shift left pi, the result is the graph of: a) g(x)= cot[1/4(x-pi)] b) g(x)=cot[1/4(x+pi)] c) g(x)=cot[4(x-pi)] d) g(x)=cot[4(x+pi)] e) g(x)=cot[4x+pi] …
  7. trig

    simplify (1-cot^2x sec^2x) / ( cot^2x)
  8. trig

    simplify (1-cot^2x sec^2x) / ( cot^2x)
  9. Trig verifying identities

    I am having trouble with this problem. sec^2(pi/2-x)-1= cot ^2x I got : By cofunction identity sec(90 degrees - x) = csc x secx csc-1 = cot^2x Then split sec x and csc-1 into two fractions and multiplied both numerator and denominators …
  10. trig

    verify (csc^4-1)/cot^2x=2+cot^2x So this is what I have so far on the left side (csc^2x+1)(cscx+1)(cscx-1)/cot^2x =(csc^2x+1)(cot^2x)/cot^2x i think I'm doing something wrong. Please help!

More Similar Questions