Explanation: Since the given triangle is a right-angled triangle, the special trigonometric identities can be applied. These identities are as follows: sin Θ = opposite / hypotenuse cos Θ = adjacent / hypotenuse tan Θ = opposite / adjacent
In the given right-angled triangle, using Pythagorean theorem: hypotenuse = sqrt(7^2 + 24^2) = 25
For angle D: sin D = opposite / hypotenuse = 24/25 cos D = adjacent / hypotenuse = 7/25 tan D = opposite / adjacent = 24/7
For angle E: sin E = opposite / hypotenuse = 7/25 cos E = adjacent / hypotenuse = 24/25 tan E = opposite / adjacent = 7/24
