Precalculus Help

State whether or not the equation is an identity. Prove your statement.

sin(x)/cos(x)+ cos(x)/1+sin(x)=sec(x)

  1. 👍 0
  2. 👎 0
  3. 👁 100
  1. I think you meant
    sin(x)/cos(x)+ cos(x)/(1+sin(x))=sec(x)

    LS = (sinx(1+sinx) + sinxcosx)/(cosx(1+sinx))
    = (sinx + sin^2x + cos^2x)/(cosx(1+sinx))
    = (sinx + 1)/(cosx(1+sinx))
    = 1/cosx
    = sec x
    = RS

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan

    asked by Alonso on January 1, 2013
  2. Precalculus

    State whether or not the equation is an identity. Prove your statement. sin(x)/cos(x)+ cos(x)/1+sin(x)=sec(x) (sorry about that)

    asked by Anonymous on December 5, 2010
  3. Precalculus

    State whether or not the equation is an identity. Prove your statement. sin(x)/cos(x)+ cos(x)/1+sin(x)=sec(x)

    asked by Anonymous on December 5, 2010
  4. 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? Thank you so much. Prove the identity.... 1. sec x + tan x(1-sin x/cos x)=1 1/cos x + sin x/cos x(cos^2 x/cos

    asked by LIZZIE010 on January 2, 2014
  5. trignonmetry

    6. Prove that tan λ cos^2 λ + sin^2λ/sin λ = cos λ + sin λ 10. Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w = cos w-cot w cos w 23. Find a counterexample to

    asked by yoshi on December 16, 2012
  6. trigonometry help me

    6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w = cos w-cot w cos w 23.Find a counterexample to shows that

    asked by eddy on January 2, 2013
  7. Trigonometry desperate help, clueless girl here

    2. solve cos 2x-3sin x cos 2x=0 for the principal values to two decimal places. 3. solve tan^2 + tan x-1= 0 for the principal values to two decimal places. 4. Prove that tan^2(x) -1 + cos^2(x) = tan^2(x) sin^2 (x). 5.Prove that

    asked by Suzy on August 16, 2013
  8. trig help much appreciated! :))

    1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove

    asked by suzy on August 16, 2013
  9. 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 +

    asked by hayden on February 23, 2009
  10. 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

    asked by Anonymous on October 31, 2013

More Similar Questions