Trigonometric Functions:
In the right angled triangle ABC, ∠CAB = A and ∠BCA = 90° = Π/2. AC is base, BC the altitude and AB is hypotenuse. We refer to base as adjacent side and to altitude as the opposite side. There are 6 trigonometric ratios, also called as trigonometric functions or circular functions. With the reference to angle A, the 6 ratios are:
Obviously, 
. The reciprocals of the sine, cosine and tangent are called as the cosecant, secant and cotangent of A respectively. We write these as cosec A, sec A, cot A.
Important Notes:
- As the hypotenuse is greatest side in a right angle triangle, sin A and cos A can never be greater than unity and cosec A and sec A can never be less than unity. Therefore ½sin A½ ≤ 1, ½cos A½ ≤ 1,½cosec A½ ≥ 1, ½sec A½ ≥1, while tan A and cot A may have any numerical value between - ∞ to +∞ .
- All the 6 trigonometric functions have got a important property in common that is periodicity. Remember that trigonometrical ratios are real numbers and remain same so long as angle remains same.
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