Write cos(-83degrees) as a function of a positive angle

Prove that tan^2(alpha)-1+cos^2(alpha)=tan^2(alpha)sin^2(alpha)

  1. 👍 0
  2. 👎 0
  3. 👁 77
  1. since cos(-x) = cos(x), what do you think?

    cos(-x) = cos(0-x)
    = cos0*cosx - sin0*sinx
    = 1*cosx - 0
    = cos(x)

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    FInd the exact value pf the 6 trig function of alpha Given: point (-2,-6) on the terminal side of the angle in standard position sin alpha cos alpha tan alpha sec alpha csc alpha cot alpha

    asked by jacara on June 7, 2011
  2. trig

    express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that

    asked by paul c on November 24, 2006
  3. algebra

    if sin alpha is 0.28° where 0° is less than or equal to alpha less than or equal to 90°, evaluate cos alpha, tan alpha, sec alpha, cosec alpha and cot alpha. please help, it's urgent.

    asked by liz on October 26, 2016
  4. trig

    evaluate the following in exact form, where the angeles alpha and beta satisfy the conditions: sin alpha=4/5 for pi/2 < alpha < pi tan beta=7/24 for pie < beta < 3pi/2 answer choices A. sin(beta+alpha) B. tan(beta-alpha) C.

    asked by liyah on December 13, 2012
  5. Trigonometry

    Prove that tan^2(alpha)-1+cos^2(alpha)sin^2(alpha) Please Explain

    asked by Cynthia on August 3, 2012
  6. physics

    Two radar stations A and B, are separated by horizontal distance of (a=500 metres), they both track the position of a plane C by recording angles (alpha), and (beta) at 1 second intervals. time (sec) 9 10 11 the angle A(alpha)

    asked by ryan on November 17, 2012
  7. Torque, Physics

    A ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the angle between the ladder and the horizontal is α. The coefficient of static friction between the ladder and the wall and between

    asked by Anon on December 5, 2017
  8. Maths

    Theta is acute and alpha is obtuse . It is known that sin theta=2/5 and cosec alpha =2. Compute the exact values of a) sec theta b) cos alpha c) tan( theta + alpha)

    asked by Kelly on April 23, 2019
  9. Math

    Given that sin alpha=4/sqrt65, pi/2

    asked by Chelsie on June 13, 2011
  10. Calculus

    The question will first read in English followed by a reading in French. *************************************** If alpha + 2 beta = pi/4 AND tan beta = 1/3. What would tan alpha mesure? (Keep in mind that pi/4 is the same as 45

    asked by Melanie on April 30, 2012

More Similar Questions