Question

If 2 sin x° − 1 = 0 and x° is an acute angle; find:

1. sin x°
2. x° 
3. cos x° and tan x°.

Answer 1

i. 2 sin x° – 1 = 0

∴ sin x° = `(1)/(2)`

ii. sin x° = `(1)/(2)`

sin x° = sin 30°

∴ x° = 30°

iii. cos x° = cos 30° = `(sqrt 3)/2`

tan x° = tan 30° = `(1)/(sqrt 3)`