Trig

Verify that each of the following is an identity.

tan^2x-sin^2x=tan^2xsin^2x

I can get it down to cos^2 on the right, but cannot get it to work out on the left.

secx/cosx - tanx/cotx=1

On the left I got down to 1-tan^2, but that clearly doesn't equal 1....

1-2cos^2x/sinxcosx=tanx-cotx

I'm really not sure where to go with this one. Any help would be appreciated. Thanks in advance.

  1. 👍
  2. 👎
  3. 👁
  1. For the first, I am going to start on the left
    LS = sin^2 x/cos^2 x - sin^2 x
    = (sin^2 x - sin^2 xcos^2 x)/sin^2 x
    = sin^2x(1 - cos^2 x)/sin^2 x
    = (sin^2 x)(sin^2 x)/cos^2 x
    = tan^2 x sin^2 x
    = RS

    for the second

    LS = 1/cos^2 x - (sinx)/cosx)]/[cosx/sinx)]
    = 1/cos^2 x - sin^2 x/cos%2 x
    = (1 - sin^2 x)/cos^2 x
    = cos^2 x/cos^2 x
    = 1
    = RS

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. precalculus

    Verify the identity: sin(A+B)/sin(A-B) = tan(A)+tan(B)/tan(A)-tan(B) Explain steps

  2. Trigonometry

    Verify the identity algebraically. TAN X + COT Y/TAN X COT Y= TAN Y + COT X

  3. Algebra

    Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

  4. math

    Find the values of sin θ, cos θ, and tan θ for the given right triangle (in the link below). Give the exact values. www.webassign.net/aufexc2/8-5-003.gif sin θ= cos θ= tan θ= my answer is c^2 = a^2 +b^2 c^2 = 5^2+12^2 c^2 =

  1. Trigonometry

    How do you verify the equation is an identity? Tan^2x-tan^2y=sec^2x-sec^2y and, how do you factor and simplify, cscx(sin^2x+cos^2xtanx)/sinx+cosx

  2. Pre-Cal

    1)tan 5 degrees + tan 25 degrees / 1 tan 5 degrees tan 25 degrees = sqrt 3 / 3 Am I correct? 2) Complete the identity tan^2Q - 3sinQtanQsecQ = -2tan^2Q Correct?

  3. Pre-calculus help

    I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x =

  4. MathsSs triG

    Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-360)sin(90-x)tan(-x)/cos(90+x) to a single trigonometric ratio B.hence or otherwise without using a calculator,solve for X if 0

  1. Pre-Calc Help!!!

    Prove the identity. (show your work please) tan(x − π/4)= (tan x − 1)/(tan x + 1) Thank you!

  2. Trig

    Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v - u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v

  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. trig

    verify the identity: sec(beta)+ tan (beta)= cos(beta)/ 1-sin(beta)

You can view more similar questions or ask a new question.