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Question
Find the values of other five trigonometric functions if `sin x = 3/5` x lies in second quadrant.
Solution
sin x = `3/5 = "AB"/"OB"`
Here AB = 3 units
∴ OB = 5 units
OA = `sqrt("OB"^2-"AB"^2)`
= `sqrt(25-9)` = ± 4
Now OA = – 4 (as it is in OX' direction.)
AB = 3
OB = 5
cos x = `"OA"/"OB" = (- 4)/5`,
tan x = `"AB"/"OA" = 3/(-4) = -3/4`
cosec x = `"OB"/"AB" = 5/3`, sec x = `"OB"/"OA"` = - `5/4`
cot x = `"OA"/"AB" = (-4)/3`
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