The matching will be given below.
- 12/25 = sin D × cos D
- 3/5 = sin D
- 16/15 = cos C × tan D
- 4/5 = sin C
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
- 12/25 = sin D × cos D
- 3/5 = sin D
- 16/15 = cos C × tan D
- 4/5 = sin C
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
