Trigonometry

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into as a collection of triangles.

Another angle is often labelled θ, and the three sides are then called:

Adjacent: adjacent (next to) the angle θ.

Opposite: opposite the angle θ.

Hypotenuse: the longest side is the Hypotenuse.

Start With Tan (x) =  Sin (x) / Cos (x).

Cot (x) opposite side of the hexagon to tan.

Cosec (x) next to Cot (x).

Sec (x) next to Cosec (x).

NOTE : All “ Co “ functions are  on the right side.

Clock Wise

Tan (x) = Sin (x) / Cos (x)

Sin (x) = Cos (x) / Cot (x)

Cos (x) = Cot (x) / Cosec (x)

Cot (x) = Cosec (x) / Sec (x)

Cosec (x) = Sec (x) / Tan (x)

Sec (x) = Tan (x) / Sin (x)

Counter clock Wise

Tan (x) = Sec (x) / Cosec (x)

Sec (x) = Cosec (x) / Cot (x)

Cosec (x) = Cot (x) / Cos (x)

Cot (x) = Cos (x) / Sin (x)

Cos (x) = Sin (x) / Tan (x)

Sin (x) = Tan (x) / Sec (x)

Reciprocal Relations

Sin (x) = 1 / Cos (x)

Cos (x) = 1 / Sec (x)

Tan (x) = 1 / Cot (x)

Cosec (x) = 1 / Sin (x)

Sec (x) = 1 / Cos (x)

Cot (x) = 1 / Tan (x)

Square Law Formulas

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