Sin, Cos, Tan – SOH CAH TOA
In right triangle ABC
sin = Side opposite to angle theta / Hypotenuse
cos = Side adjacent to angle theta / Hypotenuse
tan = Side opposite to angle theta / Side adjacent to angle theta
For cot, sec & cosec
cosec = 1/ sin
sec = 1/cos
cot = 1/tan
Example
Find value of sin, cos, tan, cosec, cot, sec
Given a triangle with sides 3, 4, 5
Here, Opposite side = 4
Adjacent Side = 3
Hypotenuse = 5
So, our values are
sin = Side opposite to angle theta / Hypotenuse = 4/5
cos = Side adjacent to angle theta / Hypotenuse = 3/5
tan = Side opposite to angle theta / Side adjacent to angle theta = 4/3
For cot, sec & cosec
cosec = 1/ sin = 5/4
sec = 1/cos = 5/3
cot = 1/tan = 3/4
To learn the formulas,
we use SOH CAH TOA
SOH = sin equals opposite by Hypotenuse
sin = Opposite/Hypotenuse
CAH = cos equal adjacent by hypotenuse
cos = Adjacent/Hypotenuse
TOA = tan equals opposite by adjacent
tan = Opposite/Adjacent

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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