Trigonometry
Trigonometry is the one of the branches of mathematics which means the measurement of triangle.
Trigonometric Ratios:
- The side that is opposite to the right angle is called the Hypotenuse. This is the longest in a right triangle.
- The side that is opposite to the angle 𝛳 is called the opposite side.
- The side that runs alongside the angle 𝛳 and which is not the Hypotenuse is called the Adjacent side.
Example:
Let 𝛳 be an acute angle of a right triangle. Then we have the following identities for the trigonometric ratios of Complementary angles,
Sin 𝛳 = Cos ( 90⁰ - 𝛳 )
Cos 𝛳 = Sin ( 90⁰ - 𝛳 )
tan 𝛳 = cot ( 90⁰ - 𝛳 )
cosec 𝛳 = sec ( 90⁰ - 𝛳 )
sec 𝛳 = cosec ( 90⁰ - 𝛳 )
cot 𝛳 = tan ( 90⁰ - 𝛳 )
Sin 𝛳 = Cos ( 90⁰ - 𝛳 )
Cos 𝛳 = Sin ( 90⁰ - 𝛳 )
tan 𝛳 = cot ( 90⁰ - 𝛳 )
cosec 𝛳 = sec ( 90⁰ - 𝛳 )
sec 𝛳 = cosec ( 90⁰ - 𝛳 )
cot 𝛳 = tan ( 90⁰ - 𝛳 )
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