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Question
Find the trigonometric functions of :
180°
Solution
Angle of measure 180°:
Let m∠XOA = 180°
Its terminal arm (ray OA) intersects the standard unit circle at P(– 1, 0).
∴ x = – 1 and y = 0
sin 180° = y = 0
cos 180° = x = – 1
tan 180° = `y/x`
= `0/(-1)`
= 0
cosec 180° = `1/y`
= `1/0`,
which is not defined.
sec 180° = `1/x = 1/(-1)` = – 1
cot 180° = `x/y = (-1)/0`, which is not defined.
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