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Grade: 12

                        

If cosec θ = √10, the find the values of all T-ratios of θ.

If cosec θ = √10, the find the values of all T-ratios of θ.

3 months ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
3053 Points
							Dear Student

Given function: cosecθ = √10
Draw a right ∆ABC,∠C = 90 degrees and∠A = θ

We know that, cosecθ = hypotenuse/perpendicular
= (k√10)/k
where k is a positive integer

By Pythagoras Theorem:

AC^2 = AB^2 + BC^2

= 10k^2 + k^2 = 9k^2

AC = 3k
Find other T-rations using their definitions:

Sin𝜃= BC/AB = 1/√10

cos𝜃= AC/AB = (3k)/(k√10) = 3/√10

tan θ = BC/AC = sinθ /cosθ = 1/3

secθ = AB/AC = 1/cosθ = √10/3

cotθ = AC/BC = 1/tanθ = 3

Thanks
3 months ago
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