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Question
In ΔABC, ∠B = 90° , AB = y units, BC = `(sqrt3)` units, AC = 2 units and angle A = x°, find:
- sin x°
- x°
- tan x°
- use cos x° to find the value of y.
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Solution
(i) From Δ ABC,
sin x° = `"perpendicular"/"Hypotenus" = (sqrt3)/(2)`
(ii) sin x° = `(sqrt3)/(2)`
sin x° = sin 60°
x° = 60°
(iii) tan x° = tan 60°
tan x° = `(sqrt3)`
(iv) cos x° = `"y"/2`
cos 60° = `"y"/2`
`1/2 = "y"/2`
`2/2` = y
∴ y = 1
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