express cot theta in terms of tan theta
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cot∅ = 1 / tan∅
Given: cot∅ and tan∅
To find: the value of cot∅ in terms of tan∅
Solution:
We know that cot∅ and tan∅ are reciprocals of each other.
So, cot∅ can be written as:
∵ cot∅ = 1/tan∅
Hence, the value of cot∅ in terms of tan∅ is 1/tan∅
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Answer:
Cot = 1/tan
Step-by-step explanation:
The word trigonometry comes from the Greek words trigonal (“triangle”) and metron (“to measure”)
Trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations.
There are six functions of an angle commonly used in trigonometry.
Their names and abbreviations are
- sine (sin)
- cosine (cos)
- tangent (tan)
- cotangent (cot)
- secant (sec)
- cosecant (cosec).
Note: These six trigonometric functions are in relation to a right triangle.
The reciprocal relations are as follows:
- sin x = 1/cosec x.
- cos x = 1/sec x.
- tan x = 1/cot x.
- cot x = 1/tan x.
- sec x = 1/cos x.
- cosec x = 1/sin x.
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