trig

how do you start this equation i've been tryng it for 20min.

sec^6x(secxtanx)-sec^4x(secxtanx)=sec^5xtan^3x

ec^6x(secxtanx)-sec^4x(secxtanx)=sec^5xtan^3x


Factor out a sec^5 tan and divide thru. Left is

sec^2 x = Tan^2 x

Then this should reduce to
sin^2 x = cos^4 x
take the square root of each side
sin x= cos^2 x
change the cos squared to 1-sin^2
sin^2 x + sin x -1=0
Now you have a quadratic, use the quadratic equation.

  1. 👍 0
  2. 👎 0
  3. 👁 192
asked by berhana

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc

    Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x-1)(tanx) dx then i did a u

    asked by UCI Student on May 30, 2012
  2. Calc

    Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x-1)(tanx) dx then i did a u

    asked by ***UCI Student*** on May 30, 2012
  3. Math

    Derivative of y=sec(tanx)? I don't get how it is secxsecx*secxtanx*tanxtanx. Where does an extra tanx come from? Derivative of sec(tanx) is just secxtanx*tanx (and then multiply the inside as well so)* sec^2(X) as derivative of

    asked by Beth on December 27, 2015
  4. calculus

    Did I do this problem right? Find the first and second derative-simplify your answer. y=xtanx y'= (x)(sec^2 x)+(tanx)(1) y'= xsec^2 x + tanx y"= (x)(2secx)(secxtanx)+sec^2 x + sec^2 x y"=2xsec^2 x tanx + 2 sec^2 x

    asked by Janet on March 18, 2011
  5. Integration

    Intergrate ¡ì sec^3(x) dx could anybody please check this answer. are the steps correct? thanks. = ¡ì sec x d tan x = sec x tan x - ¡ì tan x d sec x = sec x tan x - ¡ì sec x tan^2(x) dx = sec x tan x + ¡ì sec x dx - ¡ì

    asked by Vidal on October 15, 2006
  6. calculus

    The problem is to evaluate the integral 10secxtanx dx, from -1/7 pi to 3/8 pi. What I've done so far is evaluated the integral since secxtanx is a trig identity, so the integral of that is secx. I took out the 10 since it was a

    asked by Douglas on August 25, 2010
  7. Calculus 12th grade (double check my work please)

    2- given the curve is described by the equation r=3cos ¥è, find the angle that the tangent line makes with the radius vector when ¥è=120¨¬. A. 30¨¬ B. 45¨¬ C. 60¨¬ D. 90¨¬ not sure A or D 2.) which of the following

    asked by anon on March 6, 2011
  8. Calculus

    Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x). a) 12 m/sec; 22 m/sec^2 b) 22 m/sec; 18 m/sec^2 c) 22 m/sec; 6 m/sec^2 d) 14 m/sec; 3 m/sec^2

    asked by Alice on February 1, 2019
  9. Math

    Starting from 105 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling at a constant rate of 35 feet per second. The distance between the bicycle and the checkpoint is given by the

    asked by Kelsey on April 4, 2017
  10. algebra. help!

    Start from 110 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is travelling at a constant rate of 30 feet per second. The distance between the bicycle and the checkpoint is given by the

    asked by Hannah on October 27, 2014

More Similar Questions