FSMQ Additional Maths help
Hi, I' doing an additional maths past paper and don't know how to do this five mark question:
Solve the equation 5sin2x=2cos2x in the interval 0<x<360
Give your answers correct to one decimal place.
(the more than and less than signs should be including 0 and 360)
Thank you!
Solve the equation 5sin2x=2cos2x in the interval 0<x<360
Give your answers correct to one decimal place.
(the more than and less than signs should be including 0 and 360)
Thank you!
Original post by xxjessietxx
Hi, I' doing an additional maths past paper and don't know how to do this five mark question:
Solve the equation 5sin2x=2cos2x in the interval 0<x<360
Give your answers correct to one decimal place.
(the more than and less than signs should be including 0 and 360)
Thank you!
Solve the equation 5sin2x=2cos2x in the interval 0<x<360
Give your answers correct to one decimal place.
(the more than and less than signs should be including 0 and 360)
Thank you!
so you know the trigonometric identity : sinx / cosx = tanx ?
use this:
divide both sides by cos2x
so 5sin2x/cos2x = 2cos2x/cos2x
5tan2x = 2
tan2x = 0.4
2x = tan^-1(0.4)
= 21.8 , 201.8, 381.8, 561.8(, 741.8) (degrees)
(because it's 2x, limit is now 720 degrees)
x = 10.9, 100.9, 190.9, 280.9(, 370.9)
because range is from 0-360 degrees, x = 10.9, 100.9, 190.9, 280.9 (degrees)
hope that helps
(edited 8 years ago)
Thank you that makes sense now xxx
xxxOriginal post by xxjessietxx
Thank you that makes sense now xxx
xxxNo worries
How long have you been learning the content for Additional Maths?I started last year but we only have one lesson a week and there's only four of us doing it
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