How do trigonometric ratios relate angle measures to side lengths of right triangles
1 answer:
Answer:
Step-by-step explanation:
Given the right angled triangle as shown, the angles A, B and C are related to sides a, b and c using the trigonometry ratio known as SOH CAH TOA.
The triangle has three sides namely the hypotenuse (AB), the opposite and adjacent. The hypotenuse is the longest side and the opposite side of the triangle depends on the acute angle in consideration.
When considering acute angle A, the opposite side will be the side facing the angle directly i.e side a.
According to the trigonometry ratio
SOH:
SinA = opposite/hypotenuse = a/c
CAH:
CosA = adjacent/hypotenuse = b/c
TOA:
TanA = opposite/adjacent = a/b
When considering acute angle B, the opposite side will be 'b' and adjacent will be a. Similarly as above;
SinB = b/c
CosB = a/c
TanB = b/a
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