Question

QUESTION 2 2.1 If x= 229,5° and y = 117,6°, determine to two decimal places the values of: 2.1.1 sin(x + y) 2.1.2cosec x​

Answer 1

Explanation:

2.1.1

Using the identity:

sin(x + y) = sinx cosy + cosx siny

sin (x + y) = sin229.5 cos117.6 + cos 229.5 sin 117.6

= -0.760406 * -0.463296 + -0.649448* 0.886204

= -0.2233

= -0.22 to 2 D.P's.

2.1.2

cosec x = 1 / sin x

so cosec 229,5 = 1/(-0.76046)

= -1.315

= -1.32 to 2 D.P's.