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Please help me figure this out !!?

Please help me figure this out !!?-example-1

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Tangent ∠ = opposite / adjacent
Tan (D) = 24/7 (Answer)
User Some Noob Student
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7.6k points
2 votes
Answer:
sin D = 24/25
tan D = 24/7
sin E = 7/25

Step-by-step 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 :)

User Ismar Slomic
by
7.9k points

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