algebra

What is the formula for tan? For example tan N. Is it the opposite angle/hypotneuse? What about sin and cosine?

  1. 👍 0
  2. 👎 0
  3. 👁 51
asked by tabby
  1. tan x= (opposite side length)/(adjacent perendicular side length)
    = sin x/cos x

    sin x = (opposite side length)/(hypotenuse)
    = x - x^3/3! + x^5/5! -...
    (if x is in radians)

    cos x = (adjacent perpendicular side length)/(hypotenuse)
    = 1 - x^2/2! + x^4/4! - ...
    (if x is in radians)

    This provides both the right-triangle definitions and the infinite series representations of those trigonometric functions

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan

    asked by trig on September 6, 2009
  2. Pre Cal

    could someone please tell me what the other angle identity of tan is? Thank you much! "...other angle identity of tan x"? in relation to which "other" ? there are many identities dealing with the tangent. The most important is

    asked by Marie on May 23, 2007
  3. mechanics (calculating plane speed and climb angle

    Two radar stations A and B, are 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 t (s) 9 10 11 α 54.80◦ 54.06◦ 53.34◦ β

    asked by royston on November 10, 2012
  4. Maths- complex numbers

    Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2]

    asked by Jake on February 13, 2007
  5. Trigonometry

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

    asked by Dee on November 8, 2010
  6. need asap trigg

    simplify the expression by using a double angle formula or a half angle formula: a. 2 tan 7 degrees /1-tan^2 7 degrees b.2 tan 7 theta / 1-tan^2 7 theta

    asked by Kaylee on March 3, 2014
  7. calculus

    can anyone tell me if tan-1x= 1 over tan x? No. They are different. tan^-1 (x) is a frequently used way of writing arctan x, which means the angle whose tangent is x. tan (tan^-1 x) = x

    asked by Elizabeth on February 11, 2007
  8. Trig-Weird Geometry Problem

    Determine all triangles ABC for which tan(A-B)+tan(B-C)+tan(C-A)=0. There's a hint: "Can you relate A-B to B-C and C-A?" Should I apply the tangent difference formula (tan(x-y))? Help would be appreciated, thanks.

    asked by Sam on December 5, 2013
  9. 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

    asked by micheal on November 11, 2012
  10. Math-Trigonometry

    Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in

    asked by Sam on November 6, 2013

More Similar Questions