Cot Half Angle Formula

Trigonometry word comes from a Greek word trigonon means – triangle and metron mean – to measure. Initially, was concerned with missing parts of the triangle’s numerical values and its computing, if the value of other parts were given.

Trigonometric functions include many formulas. Apart from trigonometric identities and ratios, there are other formulas like half angle formulas.

Multiple Formulas for Cot Half Angle:

Half angle for Cotangent

Cot theta/2 =Cosec theta + cot theta

Half angle for Cotangent

(1 + cos theta) /sin theta

Half angle for Cotangent

±Sqrt (1+cos theta/1 – cos theta)

Half angle for Cotangent

Sin theta/(1 – Cos theta)

Examples of Cot half-angle formulas

Question:

What is the value of Cot x/2 if cosec x = 2/1 and cot x = 3 / 4?

Solution:

If cosec x = 2/1 and cot x = 3 / 4

Then, Cot theta/2 =Cosec theta + cot theta

= 2/1 + ¾

=(8+3)/4

= 11/4

Question:

What is the value of Cot x/2 if sin x = 3/4 and cos x = 4/5 ?

Solution:

If sin x = 3/4 and cos x = 4/5

Then, Cot theta/2 = Sin theta/(1 – Cos theta)

= ¾ + ⅘

=(15 + 16) / 20

= 31 / 20

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