1. Questions

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

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Jasmine

  1. One of the basic identities is
    tan^2 A + 1 = sec^2 A which gives Tan^2 A = sec^2 A - 1

    so
    Left side
    = tan^2x-tan^2y
    = sec^2x - 1 -(sec^2y - 1)
    = sec^2x - sec^2y
    = Right Side

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Reiny

  2. For the second, I will assume you meant

    cscx(sin^2x+cos^2xtanx)/(sinx+cosx)
    = 1/sinx(sin^2x + cos^2xsinx/cosx)/(sinx + cosx)
    = 1/sinx(sin^2x + sinxcosx)/(sinx+cosx)
    = (sinx + cosx)/sinx + cosx)
    = 1

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math;)

    Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2

  2. Math

    What is a simplified form of the expression [sec^2x-1]/[(sinx)(secx)]? a. cot x b. csc x c. tan x***** d. sec x tan x I think this is the correct answer, but I do not understand why. Can someone please explain?

  3. math

    Prove the trigonometric identity. tan x+cot x/csc x cos x=sec^2 x __= sec^2x __= sec^2x __ = sec^2x __= sec^2x __ = sec^2x 1/cos^2x=sec^2x sec^2x=sec^2x

  4. Math

    What is a simplified form of the expression sec^2x-1/sin x sec x ? a)cot x b)csc x c)tan x d)sec x tan x Please help me :(

  1. physics (speed of plane by radar)

    The radar stations A and B, separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals, If three successive readings are shown in the table,calculate the speed v of the plane and

  2. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2

  3. math

    Prove that the equation Is an identity. Sec^4x - Tan^4x = Sec^2x + Tan^2x

  4. Calc

    If f(x)= sec x, find f"(Pi/4) I am not sure how to take the 2nd derivative? f'(x)= sec x tan x f"(x)=??? Is it f"(x)= (sec x tan x)(sec^2x)??? Please Help!

  1. Mathematics

    (cos 2x)/(1/(cos x)) * (sin(pi + x))/(tan x) = (sec(x) - csc(x)) * (csc(x))/(sec^2 x) * (1 - cos^2 x) My friend and I are having a debate on the true identity of this equation, however my friend learned this subject and I did not.

  2. 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

  3. Trig

    Find secx if sinx = -4/5 and 270 < x < 360. tan^2x+1=sec^2x (-4/5)^2+1=sec^2x 16/25+1=sec^2x 17/25=sec^2x sqrt 17/5 I don't know if it should be positive or negative.

  4. Calculus PLEASE check my work ,

    1.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (3x)-2e^-2x Sec(3x)

View more similar questions or ask a new question.