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1. If 16 cotx=12 , find value of sinx-cos upon sin x + gosx
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1/7
Step-by-step explanation:
cot X = 12/16
since, cot Φ = base / perpendicular
Base = 12
Perpendicular = 16
(Hypotenuse)^2 = (16)^2 + (12)^2
(Hypotenuse)^2 = 256 + 144
(Hypotenuse)^2 = 400
Hypotenuse = √400 = 20
sin x = perpendicular / hypotenuse
= 16/20
Cos x = base / hypotenuse
= 12 / 20
Sin X + Cos X = 16/20 + 12/20 = 28/20
Sin X + Cos X = 28/20
SinX - Cos X = 16/20 - 12/20 = 4 / 20
SinX - Cos X = 4 /20
Sin X - Cos X / Sin X + Cos X =
4/20 /28/20
= 4/28
= 1/7
1/7 is the correct answer.
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