Example 1: given tan a = 4/3 trigonometric ratios of the angle a.find the other

Text Solution

Solution : In triangle ABC given tan A is 4/3 hence opposite side is `4x`, adjacent side is `3x` <br> then by Pythagoras theorem hypotenuse will be `sqrt[(4x)^2+(3x^2)]= sqrt[25x] = 5x`. <br> now, `sin A` is `4/5` <br> `cos A` is `3/5` <br> `cosec A `is `5/4` <br> `sec A` is `5/3` <br> `cot A` is `3/4`.