TRIGONOMETRY

TRIGONOMETRIC RATIOS

The sides of a right triangles are name the opposite side, adjacent side and hypotenuse.  The position of the opposite and adjacent sides depends on the reference angle.

 The six trigonometric functions are defined as below :

 Hypotenuse : is the longest side of right angle triangles and always the side opposite to the right angle.
Similarly, the ratios can be defined for any angles.The sum of angles of any right triangle is 180^0.

INVERSE TRIGONOMETRIC FUNCTIONS

The expression  is known as inverse trigonometric functions.

The values of the sin inverse trigonometric functions can also be easily obtained using scientific calculators.

Example: To evaluate inverse trigonometric functions

a)         sin^-1 0.3241     = 18.91⁰

b)         cos^-1 0.7582   = 40.69⁰

SOLVING TRIGONOMETRY WORD PROBLEM.