Grade 1210 grade maths
If cot θ = 2, find the value of all T-ratios of θ.find
If cot θ = 2, find the value of all T-ratios of θ.
find
1 Answer
Harshit Singh
Dear Student
Given function: cot θ= 2
We know that cot θ = base/perpendicular
= 2/1
where k is a positive
By Pythagoras Theorem:
AB^2 = BC^2 + AC^2
= k^2 + 4k^2
= 5k^2
AB = k√5
Find other T-rations using their definitions:
Sin𝜃 = k/(k√5) = 1/√5
cos𝜃 = (2k)/(k√5) = 2/√5
tan θ = sinθ /cosθ = k/(2k) = 1/2
cosec 𝜃= 1/sin𝜃= √5
sec𝜃= 1/cos𝜃= √5/2
Thanks
Given function: cot θ= 2
We know that cot θ = base/perpendicular
= 2/1
where k is a positive
By Pythagoras Theorem:
AB^2 = BC^2 + AC^2
= k^2 + 4k^2
= 5k^2
AB = k√5
Find other T-rations using their definitions:
Sin𝜃 = k/(k√5) = 1/√5
cos𝜃 = (2k)/(k√5) = 2/√5
tan θ = sinθ /cosθ = k/(2k) = 1/2
cosec 𝜃= 1/sin𝜃= √5
sec𝜃= 1/cos𝜃= √5/2
Thanks
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