• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Help with manipulation please (1 Viewer)

MONKEYjulz

Member
Joined
Nov 27, 2008
Messages
50
Location
Cardbox Box
Gender
Male
HSC
2009
hey, this might be a very easy question, but i've never encountered it before.

How does: inverse tan (2) - inverse tan (1/2) = inverse tan (3/4)

Help is appreciated, thanks
 

Asubmarine

Member
Joined
Apr 2, 2009
Messages
64
Location
right here
Gender
Male
HSC
2009
How does: inverse tan (2) - inverse tan (1/2) = inverse tan (3/4)
let inv. tan(2) = @ , inv. tan (1/2) = X and inv. tan (3/4) = Y
ie. (@-X)=Y
if (@-X)=Y then
tan(@-X) = tan(Y)

tan(@-X)= (tan@-tanX)/1+tan@tanX)

by defintion tan(@)=2 , tan(X)=1/2 and tan(Y)=3/4

so tan(@-X) = (2-0.5)/(1+2x0.5)
=1.5/2
=3/4
=tan(Y)

therefore (@-X)=Y
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top