+- Support Forums (https://www.supportforums.net)
+-- Forum: Categories (https://www.supportforums.net/forumdisplay.php?fid=87)
+--- Forum: Life Support (https://www.supportforums.net/forumdisplay.php?fid=12)
+---- Forum: Academic, School, and Homework Help (https://www.supportforums.net/forumdisplay.php?fid=52)
+----- Forum: Math Help (https://www.supportforums.net/forumdisplay.php?fid=53)
+----- Thread: Trig Help?! (/showthread.php?tid=26118)
Trig Help?! - Reece - 04-29-2012
Verify Each Trigonometric Identity
1.
(sec x/sin x) - (sin x/cos x) = cot x
2.
sin (360° + x) = sin x
3.
(cos x) - (cos x/1 - tan x) = (sinxcosx/sin x - cos x)
Solve Each Trigonometric Equation
4.
tan 2x - √3 = 0
5.
4cos² x - 3 = 0
Can anyone help with these?
RE: Trig Help?! - Kurtz - 04-29-2012
Hey, Reece.
These are Trig Identities, correct?
4. tan 2x - √3 = 0
Solution:
Possible intermediate steps:
tan(2 x)-sqrt(3) = 0
Add sqrt(3) to both sides:
tan(2 x) = sqrt(3)
Take the inverse tangent of both sides:
2 x = pi/3
Divide both sides by 2:
x = pi/6
5.4cos² x - 3 = 0
Solution:
Possible intermediate steps:
4 cos^2(x)-3 = 0
Add 3 to both sides:
4 cos^2(x) = 3
Divide both sides by 4:
cos^2(x) = 3/4
Take the square root of both sides:
cos(x) = -sqrt(3)/2 or cos(x) = sqrt(3)/2
Take the inverse cosine of both sides:
x = (5 pi)/6 or cos(x) = sqrt(3)/2
Take the inverse cosine of both sides:
x = (5 pi)/6 or x = pi/6
Hope this helps,
Regards
Kurtz.