Math

posted by .

Prove the identity

csc^2x = 2sec2x / sec2x - 1

Sorry i really tried. I got : LS = 1 - (cos^2x/sin^2x) but that's it. please help

  • Math -

    multiply RS top and bottom by cos2x and you have

    2/(1-cos2x)
    = 2/(1-(cos^2 x - sin^2 x))
    = 2/(1-cos^2 x + sin^2x)
    = 2/(2sin^2 x)
    = 1/sin^2 x
    = csc^2 x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. verifying trigonometric identities

    How do I do these problems? Verify the identity. a= alpha, b=beta, t= theta 1. (1 + sin a) (1 - sin a)= cos^2a 2. cos^2b - sin^2b = 2cos^2b - 1 3. sin^2a - sin^4a = cos^2a - cos^4a 4. (csc^2 t / cot t) = csc t sec t 5. (cot^2 t / csc
  2. Trigonometry

    Prove the identity sin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z) = 4 sin(x)cos(y)cos(z) This identity is so long and after i tried to expand the left side and it just looked something crap Thanks for you help :)
  3. Math

    Prove this identity 1. csc^2(pi/2-x)=1+sin^2xcsc^2(pi/2-x) 2. tan(pi/4+x)+tan(pi/4-x)=2sec2x
  4. Math

    Solve this equation algebraically: (1-sin x)/cos x = cos x/(1+sin x) --- I know the answer is an identity, and when graphed, it looks like cot x. I just don't know how to get there. I tried multiplying each side by its conjugate, but …
  5. Math

    Prove each identity: a) 1-cos^2x=tan^2xcos^2x b) cos^2x + 2sin^2x-1 = sin^2x I also tried a question on my own: tan^2x = (1 – cos^2x)/cos^2x R.S.= sin^2x/cos^2x I know that the Pythagorean for that is sin^2x + cos^2x That's all I …
  6. Trigonometry

    Verify the identities. 1.) √1-COSθ/1+COSθ= 1+SINθ/SINθ 2.) SEC X SIN(π/2-X)= 1 3.) CSC X(CSC X-SIN X)+SIN X-COS X/SIN X + COT X= CSC²X 4.) CSC^4 X-2 CSC²X+1= COT^4 X 5.) CSC^4 θ-COT^4 θ= 2 …
  7. Pre-Calculus

    Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 …
  8. Pre-Calculus

    I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x …
  9. MATH

    Hi, I really need help with these questions. I did some of them halfway, but then I got stuck. Would you please help me?
  10. precalc

    prove each identity 1) (sec - cos) / tan = sin 2) (csc^2 - 1) / csc^2 = cos^2 3) (sin/csc) - 1 = -cos/sec

More Similar Questions