• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
1,432
Reaction score
6,887
Points
523
How to solve trigonometrical equations within the range of -180<x<180? Is there a specific rule for it? For example, tan x = 45 and sin 2x = 2 sin x
solve the trig normally.
to make the answer in range...always add or subtract 360 from it.
if the angle is x there shld be 2 solutions...but if despite adding or subtracting 360..one answer doesnt fall in range...give both answers...BUT rewrite the real answer which is in range for example.... x =45 and x =190
but the quest range is 0<x<180
so x = 45 for 0<x<180 <---------WRITE LIKE THIS
 
Messages
15
Reaction score
29
Points
13
Hello, anyone help me with this number. It's from june 2005p3. Actually, i've been able to prove but the (ii) part , not getting the answer. If you could help me out plus include the explanation, it'd be great. Exams are on friday, and i'm still struggling with vectors II.
 

Attachments

  • CAM01089-1.jpg
    CAM01089-1.jpg
    771.1 KB · Views: 5
Messages
1,432
Reaction score
6,887
Points
523
Hello, anyone help me with this number. It's from june 2005p3. Actually, i've been able to prove but the (ii) part , not getting the answer. If you could help me out plus include the explanation, it'd be great. Exams are on friday, and i'm still struggling with vectors II.

find normal (n hat) by doing cross product with the direction of line l and the directon vector A.

replace in the formula r. n hat = a . n hat

a can be the point in line equation (4,-2,2)

replace n u get the answer.
 
Messages
8,477
Reaction score
34,837
Points
698
p1-jpg.42788
p2-jpg.42789

Video solution :
 
Messages
14
Reaction score
51
Points
23
for least value of arg z means the smallest angle possible
ths means the tangent to the cricle must be such tht it makes the least possible angle
so u draw the tangent from starting point O to where it makes the least possible angle with the circle
u calculate modulus of z by assuming the tangent the hypotenus of a right angled triangle.
use pythagoras theorem or sin rule if u want.
the O will be the radius of the circle
the H will the moduls of z
use sin rule. its easier.
Thank you!
 
Top