**Important Concepts and Formulas**

1. There are 6 trigonometric ratios,
i.e., sin, cos, tan, cot, sec and cosec.

2. In right-angled triangle ABC,
right-angled at B,

3. Six trigonometric ratios are related
to each other as follows:

4. If one of the trigonometric ratios of
an acute angle is known, the remaining trigonometric ratios of the angle can be
easily determined.

5. The values of trigonometric ratios
for some specific angles such as 0°, 30°,
45°, 60° and 90° can be determined easily.

6. The values of sin A or cos A never
exceeds 1, whereas the value of sec A or cosec A is always greater than or
equal to 1.

7. Trigonometric ratios of complementary
angles are as follows:

sin (90° – A) = cos A ; cos (90° – A) = sin A

tan (90° – A) = cot A ; cot (90° – A) = tan A

sec (90° – A) = cosec A ; cosec (90° – A) = sec A

8. These are the trigonometric
identities:

sin

^{2}A + cos^{2}A = 1 ;
sec

^{2}A – tan^{2}A = 1 ; for 0° ≤ A ≤ 90°
cosec

^{2}A = 1 + cot^{2}A ; for 0° < A ≤ 90°
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