Answer:
sin D = 24/25
tan D = 24/7
sin E = 7/25
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
Hope this helps :)
