trigonometry

posted by .

{1/(sec x - 1)} - {1/(sec x +1)} = 2 cot^2 x

solve using identities?

  • trigonometry -

    Hey, I did this for you long ago.

  • trigonometry -

    Twice in fact

  • trigonometry -

    copy again
    sin a cos b + cos a sin b = sin (a+b)
    so sin (7t)

    1/(1/cos x -1) - 1/(cos x +1)

    cos x/(1 - cos x) - cos x/(1+cos x)

    [cos x(1+cos x) - cos x(1-cos x)]/(1-cos^2 x)

    [ cos x + cos^2x - cos x +cos^2 x]/sin^2x

    2 cos^2 x/sin^2 x

    2 cot^2 x

  • trigonometry -

    ohh, i didn't realize! thankyou :)

  • trigonometry -

    Please check before repeating posts. Some other teacher might have done it all over again.

  • trigonometry -

    okay!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trigonometry

    I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta …
  2. Math - Trigonometry

    Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2. (tanx+1)^2=sec^2x + 2tan x 3. csc x = )cot x + tan x)/sec x 4. sin2x - cot x = -cotxcos2x
  3. Math

    Prove Trig. Identities 1. sec è (sec è - cos è)= tan^2 è 2. tan^2 è (1 + cot^2 è) = sec^2 è
  4. trigonometry repost

    Reduce (csc^2 x - sec^2 X) to an expression containing only tan x. (is this correct?
  5. trigonometry

    Use identities to simplify each expression. 1) (sin2t) (cos5t) + (cos2t) (sin5t) 2) {1/(sec x - 1)} - {1/(sec x +1)} = 2 cot^2 x
  6. Trigonometry

    Verify/Solve the identities. 1.) SIN^1/2 X COS X-SIN^5/2 X COS X 2.) Long problem, but it's fun to solve! SEC^6 X(SEC X TAN X)-SEC^4 X(SEC X TAN X)
  7. Trigonometry

    Verify the identities. 1.) SIN[(π/2)-X]/COS[(π/2)-X]=COT X 2.) SEC(-X)/CSC(-X)= -TAN X 3.) (1 + SIN Y)[1 + SIN(-Y)]= COS²Y 4.) 1 + CSC(-θ)/COS(-θ) + COT(-θ)= SEC θ (Note: Just relax through verifying/solving …
  8. Trigonometry

    Simplify each expression using the fundamental identities. 1. Sec x csc x / sec^2x+csc^2x 2. Sec x + tan x / sec x + tan x - cos x
  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. Maths

    Please help Trigonometric identities proof (cot^2(x)(sec(x)-1))/1+sin(x)=(sec^2(1-sin(x))/1+sec(x) Many Thanks

More Similar Questions