Question

Calculators are not to be used in this question.
The diagram shows three points L(-2, 1), M(0, 2) and N(3,-2) joined to form
a triangle. The angles a and B and the point P are shown in the diagram.
YA
M(0, 2)
|(-2,1)
a
B
P
N(3,-2)
(i) Show that sina =
- 3 / 3
and write down the value of cosa.

Answer 1

Answer:

don't you know so easy question shameful

Answer 2

Answer:

a) FIND THE DISTANCE BETWEEN L TO M OR LM ITS $\sqrt{5$  P lies on y axis  same line with L so its pont p(0,1) LP distance is 2 units where as MP distance is 1 unit so we found $sin \alpha =2/5$ & $\alpha = 2/5sin$( 63.43) degree

b) for this find the slope between mn which equals to $-4/3$ and find the point of line MN which cuts point at x axis (1.5,0). and from origin to its distance is also 1.5 units and origin to M (OM =2 units ) hence sin $\beta$ = 1.5/2.5

c) use of sin ($\alpha +\beta$) = $sin\alpha *cos\beta +sin\beta *cos\alpha$

gives 11/5$\sqrt{5$ or 0.984

Step-by-step explanation: