cot trigonometry

- 1 x For x R, if q is an angle whose cotangent is x, then we say that cotangent inverse of x is q and write cot -1 x= q . In particular, For practical purposes, only principal values of cot - 1 x are considered..

With trigonometry we can find the height of a building or the width of a river without actually climbing or crossing. Certain basic definitions are necessary to further develop this subject. The ratios of two sides of a triangle are taken. There are six possible combinations. Each ratio i..

For any two angles A and B, we have 1. Sin(A+B) = SinA CosB + CosA SinB. 1. Cos(A+B) = CosA CosB + SinA SinB. 1. Tan(A+B) = (TanA + TanB) / (1 - TanA TanB). 1. Cot(A+B) = (CotB CotA - 1) / (CotB + CotA..

The Values of Trigonometric Functions of 90 o and 0 o are: cos90 o = 0, sin90 o = 1, tan90 o = Not defined, sec90 o = Not defined, cot90 o = 0, cosec90 o = 1, cos0 o = 1, sin0 o = 0, here cosec0 o and cot0 o are not defined, sec0 o = 1, tan0 o = ..

f) cosec 180 o and cot 180 o are not defined. g) cosec 360 o and cot 360 o are not define..

i) The numerical values of sin q and cos q cannot be greater than 1. ii) The numerical values of sec q and cosec q can never be less than 1. iii) There is no restriction on the values of tan q and cot q since they can take any valu..

1. sin A = cos (90 o - A). 2. sin A / cos a = tan A. 3. tan A x tan (90 o - A) = 1. 4. sin 2 A + cos 2 A = 1. 5. 1 + tan 2 A = sec 2 A. 6. 1 + cot 2 A = cosec 2 A. Where 'A' is the angl..

1. The reciprocal of cos q = 1/cos q = sec q . 2. The reciprocal of sin q = 1/sin q = cosec q . 3. The reciprocal of tan q = 1/tan q = cot q..

Summary - sin A = cos (90 o - A) tan A . tan (90 o - A) = 1 sin 2 A + cos 2 A = 1 1 + tan 2 A = sec 2 A 1 + cot 2 A = cosec 2..

Question: Eliminate q between x = sin q + cos q , y = tan q + cot q . Answer: ..