All formulas of Trigonometry.........
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anna96:
sin=opp/hyp , cos=adj/hyp , tan=opp/hyp ,cosec=hyp/opp, sec=hyp/adj ,cot=adj/opp
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Trigonometrical ratios are defined as the ratios between any two given sides of a right angled triangle i.e. a triangle having one of its angles measuring to 90 °.
There six trigonometrical ratios, which are mentioned as follows :
1. sine ( abbreviated as sin ) of any angle = Perpendicular / Hypotenuse
2. cosine ( abbreviated as cos ) of any angle = Base / Hypotenuse
3. tangent ( abbreviated as tan ) of any angle = Perpendicular / Base
4. cosecant ( abbreviated as cosec ) of any angle = Hypotenuse / Perpendicular
5. secant ( abbreviated as sec ) of any angle = Hypotenuse / Base
6. cotangent ( abbreviated as cot ) of any angle = Base / Perpendicular
There six trigonometrical ratios, which are mentioned as follows :
1. sine ( abbreviated as sin ) of any angle = Perpendicular / Hypotenuse
2. cosine ( abbreviated as cos ) of any angle = Base / Hypotenuse
3. tangent ( abbreviated as tan ) of any angle = Perpendicular / Base
4. cosecant ( abbreviated as cosec ) of any angle = Hypotenuse / Perpendicular
5. secant ( abbreviated as sec ) of any angle = Hypotenuse / Base
6. cotangent ( abbreviated as cot ) of any angle = Base / Perpendicular
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Answer:
- Pythagorean theorem:
- (P)² + (B)² = (H)²
- The trigonometric properties are given below:
- sin A = p/h
- cos A = b/h
- tan A = p/b
- cosec A = h/p
- sec A = h/b
- tan A = b/p
- Relation between trigonometric identities:
- tan A = sin A/cosA
- cot A = cos A/sin A
- cosec A = 1/sin A
- sec A = 1/cos A
- Reciprocal relations:
- cosec A = 1/sin A
- sec A = 1/cos A
- cot A = 1/tan A
- sin A = 1/cosec A
- cos A = 1/sec A
- tan A = 1/cot A
- Trigonometric formulas (square law formulas):
- sin²A + cos²A = 1
- tan²A = 1+sec²A
- cot²A = 1+cosec²A
i hope it helps
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